(2m-2)(m+2)=

Solution for (2m-2)(m+2)= equation:

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

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

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

Multiply (-2 + 2m) * (2 + m)
(-2(2 + m) + 2m * (2 + m)) = 0
((2 * -2 + m * -2) + 2m * (2 + m)) = 0
((-4 + -2m) + 2m * (2 + m)) = 0
(-4 + -2m + (2 * 2m + m * 2m)) = 0
(-4 + -2m + (4m + 2m2)) = 0

Combine like terms: -2m + 4m = 2m
(-4 + 2m + 2m2) = 0

Solving
-4 + 2m + 2m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + m + m2) = 0

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

Ignore the factor 2.
Subproblem 1
Set the factor '(-2 + -1m)' equal to zero and attempt to solve:

Simplifying
-2 + -1m = 0

Solving
-2 + -1m = 0

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

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

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

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

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

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

Simplifying
1 + -1m = 0

Solving
1 + -1m = 0

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

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

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

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

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

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