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

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

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

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

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

Multiply (-2 + x) * (2 + 2x)
2(-2(2 + 2x) + x(2 + 2x)) = 0
2((2 * -2 + 2x * -2) + x(2 + 2x)) = 0
2((-4 + -4x) + x(2 + 2x)) = 0
2(-4 + -4x + (2 * x + 2x * x)) = 0
2(-4 + -4x + (2x + 2x2)) = 0

Combine like terms: -4x + 2x = -2x
2(-4 + -2x + 2x2) = 0
(-4 * 2 + -2x * 2 + 2x2 * 2) = 0
(-8 + -4x + 4x2) = 0

Solving
-8 + -4x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + -1x + x2) = 0

Factor a trinomial.
4((-1 + -1x)(2 + -1x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve:

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1x = 0 + 1

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

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

Divide each side by '-1'.
x = -1

Simplifying
x = -1
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

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

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

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

Simplifying
x = 2
Solution
x = {-1, 2}