Question

Solve 2x^4+2x^3-6x^2-6x=0

Answer 1

First, factor out all the common factors:\[2x(x^3+x^2-3x-3)\]

Answer 2

ok

Answer 3

Probably, the rest can also be factored.
Try a few "simple" numbers that makes it zero:
I think x = -1 does the job. Then, you have \[2x(x+1)(x^2.......)\]What the 2nd degree polynomial is, can be found with a synthetic division of x³+x²-3x-3 by x+1.
Are you familiar with that?

Answer 4

yes

Answer 5

i think i can take it from here, thanks alot !

Answer 6

YW!