Question

How do you simplify `3- 4x - 7x^{2} + 4x^3= 2- 8x - 7x^2- x^{3}`?

Answer 1

There isn’t a absolute answer for this question. However, the simplified form is:
`4x+5x^3=-1`

Explanation:

`-4x+8x-7x^2+7x^2+4x^3+x^3=2-3`

`4x+5x^3=-1`

Answer 2

`1+4x+5x^3=0`

Explanation:

Given -

`3-4x-7x^2+4x^3=2-8x-7x^2-x^3`

Add `-2` to both sides

`3-2-4x-7x^2+4x^3=2-2-8x-7x^2-x^3`
`1-4x-7x^2+4x^3=cancel2cancel(-2)-8x-7x^2-x^3`
`1-4x-7x^2+4x^3=-8x-7x^2-x^3`

Add `8x` to both sides

`1-4x+8x-7x^2+4x^3=-8x+8x-7x^2-x^3`
`1+4x-7x^2+4x^3=cancel(-8x)cancel(+8x)-7x^2-x^3`
`1+4x-7x^2+4x^3=-7x^2-x^3`

Add `7x^2` to both sides

`1+4xcancel(-7x^2)cancel(+7x^2)+4x^3=cancel(-7x^2)cancel(+7x^2)-x^3`
`1+4x+4x^3=-x^3`

Add `x^3` to both sides

`1+4x+4x^3+x^3=-x^3+x^3`
`1+4x+5x^3=cancel(-x^3)cancel(+x^3)`
`1+4x+5x^3=0`