(2m-2)(m+6)=

Solution for (2m-2)(m+6)= equation:

Simplifying
(2m + -2)(m + 6) = 0

Reorder the terms:
(-2 + 2m)(m + 6) = 0

Reorder the terms:
(-2 + 2m)(6 + m) = 0

Multiply (-2 + 2m) * (6 + m)
(-2(6 + m) + 2m * (6 + m)) = 0
((6 * -2 + m * -2) + 2m * (6 + m)) = 0
((-12 + -2m) + 2m * (6 + m)) = 0
(-12 + -2m + (6 * 2m + m * 2m)) = 0
(-12 + -2m + (12m + 2m2)) = 0

Combine like terms: -2m + 12m = 10m
(-12 + 10m + 2m2) = 0

Solving
-12 + 10m + 2m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + 5m + m2) = 0

Factor a trinomial.
2((-6 + -1m)(1 + -1m)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-6 + -1m)' equal to zero and attempt to solve:

Simplifying
-6 + -1m = 0

Solving
-6 + -1m = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1m = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1m = 0 + 6
-1m = 0 + 6

Combine like terms: 0 + 6 = 6
-1m = 6

Divide each side by '-1'.
m = -6

Simplifying
m = -6
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 = {-6, 1}