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

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

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

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

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

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

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

Remove parenthesis around (2 + -1x)
-2 + -1x + x2 = 2 + -1x

Add 'x' to each side of the equation.
-2 + -1x + x + x2 = 2 + -1x + x

Combine like terms: -1x + x = 0
-2 + 0 + x2 = 2 + -1x + x
-2 + x2 = 2 + -1x + x

Combine like terms: -1x + x = 0
-2 + x2 = 2 + 0
-2 + x2 = 2

Solving
-2 + x2 = 2

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + x2 = 2 + 2

Combine like terms: -2 + 2 = 0
0 + x2 = 2 + 2
x2 = 2 + 2

Combine like terms: 2 + 2 = 4
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}