how do i solve x^4-2x^3=16+8x-4x^3

- anonymous

how do i solve x^4-2x^3=16+8x-4x^3

- chestercat

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- anonymous

okay. first you need to being all the terms to one side. So bring in the 16+8x - 4x^3 to the left hand side of the equation and post what you got here.

- anonymous

x^4+2x^3-8x-16=0

- anonymous

okay great. What is common in the first two terms x^4 and 2x^3?

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## More answers

- anonymous

x^2

- anonymous

are you sure about that?

- anonymous

no its x^3

- anonymous

okay. so factor out the x^3 in the first two terms and post what you got.

- anonymous

x^3(x+2)

- anonymous

good! next lets move on to -8x -16. what is common in those two terms?

- anonymous

4?

- anonymous

are you sure?

- anonymous

what is 8 times 2?

- anonymous

16

- anonymous

so its 8..

- anonymous

okay what is -8 times 2?

- anonymous

-16

- anonymous

so what can you factor out?

- anonymous

im confused..

- anonymous

-8x-16. what can you factor out here?

- anonymous

-8(x-2)

- anonymous

correct

- anonymous

no -8(x+2)

- anonymous

yes, that is correct.

- anonymous

-8(x+2) is correct

- anonymous

so the whole equation is what X^3(x+2)-8(x+2) right?

- anonymous

yea

- anonymous

im sorry, it is x^3(x+2)-8(x+2)=0

- anonymous

so what can you factor out here?

- anonymous

(x^3-8)(x+2)=0
x=-2,2 is the answer

- anonymous

thinker, I was in the middle of explaining the whole problem from beginning to end so that car could do it on his own without me thinking for him and doing his calculations for him.

- anonymous

i wanted to figure it out myself

- anonymous

that is not how he will learn.

- anonymous

ohh...sorry..just wanted to help :)

- anonymous

I understand :)

- anonymous

thanks though guys!

- anonymous

youre welcome.

- anonymous

ur welcome ! :)

- anonymous

by the way im a girl lol

- anonymous

sorry, lol

- anonymous

alright car, good luck .Look for patterns when you are asked to solve or simplify equations.

- anonymous

ok!

- anonymous

what if the problem is x/x^2-4 + 1/x+2 =3..do i solve it the same by bringing the 3 to the other side?

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