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Don't worry, you fit in here! Let me help you! Algebra equation Reddit r/askmath
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- Опубликовано: 27 дек 2023
- This video is for answering Pauline's question that I saw on Reddit r/askmath. We will solve an algebraic equation 3(2x+8)=x-2(6-x), which requires knowing how to distribute, combine like terms, and do the opposite operations to both sides of the equation to isolate the x. Here's the original post / enlrbxr4n6
Solving more similar equations 👉 • 6 basic equations you ...
Solving one-step equations but they get increasingly higher grade levels: 👉 • How to solve one-step ...
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#math #algebra #mathbasics
Solving one-step equations but they get increasingly higher grade level: ruclips.net/video/dbOykuzAMaE/видео.html
Thank you for being a caring teacher🙏
Maybe for beginners it would also help to remind them that the mission is to solve for x! And then, at the end, double check your work by plugging in the answer into the original equation. That should bring the whole thing back around for them.
Actually, the question was about finding x, not x!
Including the gamma function in this question might be a little bit confusing for beginners
@@marendor9087dang, you beat me to it.
He usually does check the answer. It's an easy thing to forget, though.
@@marendor9087it was an exclamation, lol. Instead of using a period (.), the OP used an exclamation mark (!).
This isn't a solve for x equation, it's an identify the variable equation. So checking the work isn't a necessity, unless of course you're not confident.
Congratulations to Pauline for having the courage to ask for help!
Love the slow paced, gentle introduction to algebra you give here. If it helps someone who's number blind, I don't know, he or she may need some more guidance still.
Never feel embarrassed about trying to learn, no matter what age you are. People who would try to shame you for doing so are just jerks. When I was in college there was always a few adult learners in class, one I recall even being in their 40s. And don't feel bad because you might have to put more effort into learning something that others. People have different brains, different things they're naturally good at, different affinities. I did good in my math and science classes and some people would look on and thought I was some genius because I could pick up the material quickly. I was no genius, it was just that math and tech was my thing. They didn't see that I struggled in English, literature, and history classes the same way they struggled in math.
Ikr, man I still feel sad when the teacher bombarded me with "others do it easily, why not you?" Idk why but I tried very hard on that particular subject, but I just really can't get A
@@heyyo3746i think i could miltiply two digit numbers way before learning how the clock hands work because i got sick on that particular day and my sister forgot to teach me them or i didn't ask her eagerly myself. i learned trigonometry from start to reduction formulas in one day that i got into the new school when we moved. its amazing how much a good book can help.
@@heyyo3746 That teacher is a bully and shouldn't be a teacher if they say stuff like that. There are multiple types of intelligence so I don't think you should let your grades from school decide if you're smart or not. I remember going to a movie called Peabody about a kid that made inventions with math and science when I was a kid and how I felt stupid after watching this kids movie meant for entertainment because I was comparing myself to the kid. I saw someone on RUclips when I was in my first year of high school who said math was easy for them. I had this bad feeling when I went to school and didn't know why. The feeling got worse and worse till I started crying during maybe the 2nd period class. I didn't know why I was crying till later. I was feeling terrible about how math was easy for this guy I saw, but I was bad at it. I wasn't good at any subject in school and still feel stupid now since I'm not particularly good at anything.
This is so true. In college, I got A's in English and literature classes without trying and could do a presentation in my sleep but I *struggled* through calc and chemistry. I am just as proud of the C's in gen chem and calc as I am of my A's
as a calc 3 student I can confirm I mistakenly foiled it out and got 1+√35(i) and 1-√35(i), neither of which equal -12. it was fun tho tbh
How though? You should be able to solve this in your head as a calc 3 student
Edit: oh did you multiple the x-2 term out?
@@no3339 yes thats what he said
i did that on one of my calc tests it was an integral of cosx - pi and I thought it was cos(x-pi) and I got it wrong and got a 99
Interesting. That sqrt doesn’t stretch out far enough to reach the 5. I wonder if there’s a way to get it to do that.
@@darcash1738you could type 35^0.5 or 35^1/2 or sqrt(35)
Quite frankly your lessons are marvelous! Even if one knows the topic showcased here, it's still really interesting to refresh some old memories. Thanks for publishing this!
Many thanks!
I love the motivation for this video. An honest call for help and an honest response of help and happy to do it.
I appreciate that!
I'm actually really glad that there's someone out there solving earlier algebra questions as so many channels just do college level calculus or geometry.
This dude teaches math so well. I love watching these videos, even though I’m not in math classes
Thank you!
I often have trouble reading notation. I read the right side of the equals sign as (x-2)(6-x) and foiled it out before realising my mistake. I also have issues when theres a number in front of a fraction, and I don’t know if its a mixed fraction or a multiplication.
Always a mixed fraction if it's written correctly. If it's going to be a multiple of a fraction the whole number will (usually) be to the right of the fraction, and the fraction will be in parentheses by itself. So If you don't see parentheses and the whole number is to the left of the fraction, it's one value...Ie "2 1/2", if it's a multiple of a fraction it would be (1/2)2=1, or 2(1/2)=1
In general, you should always multiply unless you are told the fraction is a mixed fraction.
Mixed fractions are NEVER used after learning about them, and it is stupid that we are forced to learn about them when all they do is just cause confusion.
Mixed fractions use implied addition (plus without writing the plus sign), while the standard is implied multiplication (multiplying without a multiplication sign).
Unless you are asked to give an answer as a mixed fraction, you should always write Nuber+Fraction, instead of a mixed fraction, with a plus sign instead of implied addition.
This is the first time I hear of the concept of "mixed fractions" and "implied addition" (these notions don't seem to exist in French maths program, at least they didn't while I was learning maths), but based on other comments I understand what they are. What's the point of these things? Making sure students despise maths by introducing conflicting notations (implied addition vs multiplication)?
mixed fractions do get used in daily life all the time (2½ cups of flour), but basically never in algebra because of the ambiguity. i don't think this distinction is actually taught though, which is weird
@@nazemec I've never known of implied addition, just implied multiplication. Doesn't mean it's not a thing... I'm just not familiar.
I wish I found this channel YEARS AGO because I once cried while doing math test in middle school 😭
Amazing how you can go from something so simple to craziness of lambert W function with such teaching skills
I laughed so hard about the same thing. This is like him riding a scooter when he has the capability to calculate a rocket's trip to Mars. I love it tho.
The pace is great for someone who has already started to understand a little bit, however as someone who used to be in a similar situation to OP in terms of math education and disability, focusing a lot more on the WHY may have helped a lot more, at least at the begining.
If I had to explain something like tbat I would first explain all methods individually, and only then start working on the problem, making sure to emphasize that the goal is to get x to be equal to a single number.
Then I would do this step for step as you excellently did and reference the explanations from the start of the video briefly to tie things in.
I would end things by reiterating the main ideas and also mentioning to make sure to plug in the number for x to check if it works.
Your video was excellent, but past me would not have understood a thing past some very basic stuff
You are fabulous. Wish I would have had you for my math teacher, I would have had a lot more free summer time 🙄😂
Thank you! 😊
As an engineering graduate student, I found this very helpful 👏
Sadly, I'm not sure this would help Pauline much.
Out of curiosity, I installed the Photomath app, and tried it out on the given equation.
The 'solving steps' and explanations that the app gives are pretty much the same as yours (obviously). If she's unable to follow/understand because of the numbers, then I expect that more specialised help would be needed.
I'd say the way you use different colored pen when doing certain step really helpful in bringing the clarity forward, if my math teacher done the same thing back then i reckon I'd have smoother time learning.
If youtube had been around when I was in junior high your channel would've helped me a lot.
As an engineer student, I really loved the way you explained this, because even though I calculated differently here I got the right answer anyway, so thanks for showing me other ways to do it, will definitely help.
You sir, are a great teacher!
Thanks!
I watched the whole thing even though I solved it in my head beforehand, it’s just nice hearing you talk 😂
Thank you. I enjoy your videos very much. They keep me thinking!
This is most excellent! An excellent refresher and an excellent lesson!
I really want to solve this problem:
Combine these two equations:
bx = ay (or ax =by I don't remember)
and (a+x)^2 + (b+y)^2 < c
The request: combine line graph equation and circle graph equation into a customizable line with any given thickness c
E=[Px(1+x)^n]/[(1+x)^n - 1] solve for x assuming that E,P & n are known quantity.
Is there a lore reason why you didnt line up "=" when combining?
If you're standing next to the whiteboard, it looks lined up from your perspective. It's only from our viewer perspective that it's not entirely lined up :)
The main reason that many people organize the "=" sign when solving algebra is so that they can clearly distinguish each side of the equation.
i did it differently. Can someone tell me if what i did was correct? i did get the same answer
6x+24=x-12+2x
24=x-12 +2x-6x
24= --3x-12
36= -3x
-12=x
thanks
Real
It’s correct, the only thing you did differently is moving x to the right side.
@@jhahat4098 tx
@@notoriousfly9260 tx
me watching this despite solving much harder things:
Like me you are fascinated with him solving the more complex ones and might be curious if he would bring up some new tricky way.
ye, he is just fun to wattchh@@PauloChacal
Personally I'm at a way more advanced level than this, but I always love those basic algebra things. Maybe because I know how to do it well, but it's just satisfying to do for some reason.
I got the same answer but my "route" was different, is this OK?
We need to recognise that this equation is only true for one value of x. Some get confused because both sides of the equation are saying something different and wouldn't work for different values of x.
when i got the 6x+24 = 3x - 12, divided all the terms by 3, and get 2x + 8 = x - 4 => x = -12, it is wrong?
Asslam o alikum. It not wrong because you balanced the equation and did it to both sides. It works on this equation because it happens that 3,6,12,24 are all factors of 3 otherwise you would have to deal with fractions. Have a good day.
U r slowly and steadily looking like jackie chan ❤
lol how?
@@bprpmathbasics if the karate kid was about mathematics (especially calculus), you would be my mr miyagi :)
@@callum1510_ i agree
❤
Don't mix texting in here. Write in sentences. Keep it professional. Who he looks like is not pertinent to the lesson.
i took it as (x--2)(6-x) lmao
3(2x+8)=x-2(6-x)
6x+24=x-12+2x
6x+24=3x-12
6x-3x=-24-12
3x=-36
x=-12 ❤
You should space out all of your characters horizontally. Do not have them cramped up together.
I think you should probably be more explicit about pointing out that multiplying or dividing two negative numbers results in a positive number, but adding two negative numbers (or subtracting a positive number from a negative number) results in a negative number.
I can imagine someone who's already uncomfortable with this seeing the -12 and -24 in the third step making a negative number, when the -2 and -x in the first step just made a positive result, especially since the -2 initially looks like subtraction.
Assalamualaikum brother
The thumbnail made me think that 3(2x+8)=x-2(6-x) is an identity. So I was confused when I went ahead and did the distribution and simplification and the two sides did not equal.
It was supposed to be solved for x 🤦
By identity, things such as 2(x+4)=3(x-4)-(x+4)+24, where all real number values for x satisfy the equation, not just one value
I can see why and I just fixed the thumbnail to make it more clear. Thanks!
x-2(6-x) ≠ (x-2)(6-x)
be careful people!
Yeah, I go by the order of operations. Thus, if it doesn't outright say (x-2) (6-x), I don't do it that way, lol.
The real answer is "X can be negative homie".
Because you look at it and it's basically the sum of 2 values is equal to half of those same values subtracted from one another.
Why does multiplying a negative by a negative equal a positive?
-a × -b is the same thing as -1 × a × -1 × b
i.e (-1)² × a × b
1 × ab
ab
Therefore multiplying two negative numbers gives positive result
Because it makes more sense that way.
Imagine the number line as a ruler on the ground that goes north to south. If you go north, the numbers go up 1, 2, 3, and if you go south, the numbers go down -1, -2, -3.
Start from 0. Face north (i.e. so that 1 step moves you by positive 1) and move 1 step forward, you’re at 1 × 1 = 1.
Start from 0 again, and face south (i.e. so that 1 step moves you by negative 1) and move 1 step forward, you’re at -1 × 1 = -1.
Start from 0, face north, and take a step BACKWARD. You’re also at 1 × -1 = -1.
Now, what if you start from 0, face south, and take a step backward? You’re at positive 1. This goes to show that -1 × -1 = 1.
@@user-uj9si1gq5hSarah doesn’t think (-1²) = 1 so that won’t convince her
A negative number is like the opposite of a positive number. if you take the opposite of an opposite you will end up with the original number
Not sure if this will make things better or worse (sorry if worse, lol):
Here's how to prove that -4 * -3 = 12 using the distributive property:
Break down -4 and -3:
Rewrite -4 as (-1) * 4
Rewrite -3 as (-1) * 3
Apply the distributive property:
(-4) * (-3) = (-1) * 4 * (-1) * 3
Rearrange factors:
(-1) * 4 * (-1) * 3 = (-1) * (-1) * 4 * 3
Multiply (-1) * (-1):
(-1) * (-1) = 1
Simplify:
1 * 4 * 3 = 4 * 3 = 12
Therefore, -4 * -3 equals 12.
-(-(4 + 4 + 4))
Negating reverses the sign, so it's like you had a 12 dollar debt, then someone decides they owe you +12 dollars, now, not you owing them -12 dollars.
An analogy:
You have a bank account with 0 dollars. The bank charges you 12 dollars thinking you owed them, but they actually owed you 12 dollars instead, so they reverse the mistaken 12 dollar charge and credit your account for the 12 dollars they owed you all along.
Just FYI, the problem in your last video isn’t actually a math problem. It’s an example used in English classes to illustrate the complexities of the English language and is also used as an exercise in learning the parts of speech and sentence diagramming. “Costs” is the verb, “$1” is the direct object of “costs,” and “plus half its cost” is a prepositional phrase modifying “$1.” If you work in a school, you can ask one of your coworkers that teaches English to diagram the sentence for you. The correct answer is $1.50.
Shouldn’t you comment that on the correct video then?
Also no, his answer in the video is correct.
nonsense
@@Khunkurisu It's on there somewhere. Figured I'd post it here, also. His answer in the video is correct, if you swap the direct object with the object of the preposition. Some people in his comments reworded it that way. As I stated previously, this is an actual example that is used in English classes. The answer is $1.50.
I mean you just aren’t correct. Even if it is used in English classes they are wrong. The prepositional phrase is also referencing the verb “costs”. the answer cannot possibly 1.50 because you then have inconsistent definitions of the “cost”. It’s both costs $1 and $1.50.
Also commenting on a separate video to tell him to get an English teacher to diagram the sentence for him is a bad look.
always acoustic users on reddit
Oh, you need help? Skill issue.
Marry me please
That comment does not belong. Delete it.
@@robertveith6383 no