Question

How do you solve `(2x-1)(1+2x+4x^2) = 8x^3-x`?

Answer 1

Perform the multiplication on the left.
Combine like terms.

Explanation:

Given: `(2x-1)(1+2x+4x^2) = 8x^3-x`

Perform the multiplication on the left:

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

`2x+4x^2+8x^3-1-2x-4x^2 = 8x^3-x`

Combine like terms:

`-1 = -x`

`x = 1`