Question

Solving rational equations:
(2x+2) (4x^2-16) (5x-5)
------- - ---------- = --------------
(3x-12) (3x^2-24x+48) (3x^2-24x+48)

I have the answer already, but I don't know how it came to be
I try to do it by factoring the 3x^2-24x+48 's and get 3(x^2-8+16)
then I multiply that by everything, as with the other denominators, and so on

but then I get a huge, incorrect answer

Someone please help even if it's one sentence. I want to get this problem done by tonight

Answer 1

Firstly you can factor out a 3

Answer 2

and then it becomes 3(x-4)^2

Answer 3

and 3x-12 can also be factored

Answer 4

3(x-4)

Answer 5

So from what I see in order to get the same denomanator you must multiply the denomanator and numerator by (x-4)

Answer 6

Did u get that so far

Answer 7

yes and i'm fixing it on my paper... stupid factoring mistakes
Thanks!

Answer 8

ok gnite

Answer 9

after this problem goodnight

Answer 10

Do you multiply the numerator of the first fraction by 3(x-4)^4?
This is where i messed up the most

I was struggling with factoring because I'm half asleep if you were wondering why I took so long by the way...

Answer 11

nope you multiply the numerator and the denomanator of the first term by (x-4)

Answer 12

what about the 3?

Answer 13

because in the second fraction the denominator I get is 3(x-4)

Answer 14

well we already have a 3 in the denomanator of the first term

Answer 15

First term denomanator: 3(x-4)
second term denomanator: 3(x-4) (x-4)

Answer 16

so all your missing in the first term is the (x-4)

Answer 17

how did you get rid of the 3?

Answer 18

I factored it

Answer 19

factor (3x-12) for me

Answer 20

3(x-4)

Answer 21

it is 3(x-4)

Answer 22

ya

Answer 23

so what doesn't make sense

Answer 24

when you're supposed to multiply everything by the denominator

Answer 25

nope we have two denomanators and we need them to be the same

Answer 26

so in order ofor 3(x-4) to be equal to 3(x-4)^2

Answer 27

we would have to multiply the first term by a (x-4)

Answer 28

so 3(x-4)*(x-4)=3(x-4)^2

Answer 29

Is that clear?

Answer 30

yes sort of , do we do that to the numerator too?

Answer 31

yup forsure

Answer 32

ooooooooooooooooooooooooooooohhhhhhhhhhhhhhhhhhhhhhhhhhhhhh ok I see I see

Answer 33

YAY i am so excited

Answer 34

I try to explain concepts but sometimes the person on the other end can't understand

Answer 35

THANK YOU OK I ACTUALLY SEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! THANK YOU OK LISTEN TO ME RIGHT NOW LOOK AT YOURSELF IN THE MIRROR AND SAY HELL YEAH IM AWESOME IM SO GOOD AT MATH THANK YOU OKAY BECAUSE I WAS REALLY STRUGGLING WITH THAT AND NOW I CAN FINALLY SLEEP

Answer 36

NOW IM GOING TO FINISH THIS PROBLEM AND GET THE RIGHT ANSWER!!!!!!!!!!

Answer 37

Oh thanks for the boost I needed that one!!! LOL

Answer 38

lol

Answer 39

someone give rld613 some more medals

Answer 40

i'm going to solve this problem right now afk

Answer 41

I am really not into the medal thing

Answer 42

I just enjoy doing math

Answer 43

its like past 2 am and I am still doing math equations!!! I shld be long in bed

Answer 44

K now that we finished i am going to bed

Answer 45

rld are you still there?