x(x+2)-2(x+2)=0

Solution for x(x+2)-2(x+2)=0 equation:

Simplifying
x(x + 2) + -2(x + 2) = 0

Reorder the terms:
x(2 + x) + -2(x + 2) = 0
(2 * x + x * x) + -2(x + 2) = 0
(2x + x2) + -2(x + 2) = 0

Reorder the terms:
2x + x2 + -2(2 + x) = 0
2x + x2 + (2 * -2 + x * -2) = 0
2x + x2 + (-4 + -2x) = 0

Reorder the terms:
-4 + 2x + -2x + x2 = 0

Combine like terms: 2x + -2x = 0
-4 + 0 + x2 = 0
-4 + x2 = 0

Solving
-4 + x2 = 0

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + x2 = 0 + 4
x2 = 0 + 4

Combine like terms: 0 + 4 = 4
x2 = 4

Simplifying
x2 = 4

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