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

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

Simplifying
p(x) = (x + 2)(x + -1)

Multiply p * x
px = (x + 2)(x + -1)

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

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

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

Combine like terms: 2x + -1x = 1x
px = (-2 + 1x + x2)

Solving
px = -2 + 1x + x2

Solving for variable 'p'.

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

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

Simplifying
p = -2x-1 + 1 + x

Reorder the terms:
p = 1 + -2x-1 + x