(5m-2)(6m+6)=

Solution for (5m-2)(6m+6)= equation:

Simplifying
(5m + -2)(6m + 6) = 0

Reorder the terms:
(-2 + 5m)(6m + 6) = 0

Reorder the terms:
(-2 + 5m)(6 + 6m) = 0

Multiply (-2 + 5m) * (6 + 6m)
(-2(6 + 6m) + 5m * (6 + 6m)) = 0
((6 * -2 + 6m * -2) + 5m * (6 + 6m)) = 0
((-12 + -12m) + 5m * (6 + 6m)) = 0
(-12 + -12m + (6 * 5m + 6m * 5m)) = 0
(-12 + -12m + (30m + 30m2)) = 0

Combine like terms: -12m + 30m = 18m
(-12 + 18m + 30m2) = 0

Solving
-12 + 18m + 30m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-2 + 3m + 5m2) = 0

Factor a trinomial.
6((-1 + -1m)(2 + -5m)) = 0

Ignore the factor 6.
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 + -5m)' equal to zero and attempt to solve:

Simplifying
2 + -5m = 0

Solving
2 + -5m = 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 + -5m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5m = 0 + -2
-5m = 0 + -2

Combine like terms: 0 + -2 = -2
-5m = -2

Divide each side by '-5'.
m = 0.4

Simplifying
m = 0.4
Solution
m = {-1, 0.4}