f(x)=(x+1)2(x-1)

Solution for f(x)=(x+1)2(x-1) equation:

Simplifying
f(x) = (x + 1) * 2(x + -1)

Multiply f * x
fx = (x + 1) * 2(x + -1)

Reorder the terms:
fx = (1 + x) * 2(x + -1)

Reorder the terms:
fx = (1 + x) * 2(-1 + x)

Reorder the terms for easier multiplication:
fx = 2(1 + x)(-1 + x)

Multiply (1 + x) * (-1 + x)
fx = 2(1(-1 + x) + x(-1 + x))
fx = 2((-1 * 1 + x * 1) + x(-1 + x))
fx = 2((-1 + 1x) + x(-1 + x))
fx = 2(-1 + 1x + (-1 * x + x * x))
fx = 2(-1 + 1x + (-1x + x2))

Combine like terms: 1x + -1x = 0
fx = 2(-1 + 0 + x2)
fx = 2(-1 + x2)
fx = (-1 * 2 + x2 * 2)
fx = (-2 + 2x2)

Solving
fx = -2 + 2x2

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by 'x'.
f = -2x-1 + 2x

Simplifying
f = -2x-1 + 2x