(6m+6)(4m-8)=

Solution for (6m+6)(4m-8)= equation:

Simplifying
(6m + 6)(4m + -8) = 0

Reorder the terms:
(6 + 6m)(4m + -8) = 0

Reorder the terms:
(6 + 6m)(-8 + 4m) = 0

Multiply (6 + 6m) * (-8 + 4m)
(6(-8 + 4m) + 6m * (-8 + 4m)) = 0
((-8 * 6 + 4m * 6) + 6m * (-8 + 4m)) = 0
((-48 + 24m) + 6m * (-8 + 4m)) = 0
(-48 + 24m + (-8 * 6m + 4m * 6m)) = 0
(-48 + 24m + (-48m + 24m2)) = 0

Combine like terms: 24m + -48m = -24m
(-48 + -24m + 24m2) = 0

Solving
-48 + -24m + 24m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '24'.
24(-2 + -1m + m2) = 0

Factor a trinomial.
24((-1 + -1m)(2 + -1m)) = 0

Ignore the factor 24.
Subproblem 1
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
Subproblem 2
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
Solution
m = {-1, 2}