(9m+6)(-5m-6)=

Solution for (9m+6)(-5m-6)= equation:

Simplifying
(9m + 6)(-5m + -6) = 0

Reorder the terms:
(6 + 9m)(-5m + -6) = 0

Reorder the terms:
(6 + 9m)(-6 + -5m) = 0

Multiply (6 + 9m) * (-6 + -5m)
(6(-6 + -5m) + 9m * (-6 + -5m)) = 0
((-6 * 6 + -5m * 6) + 9m * (-6 + -5m)) = 0
((-36 + -30m) + 9m * (-6 + -5m)) = 0
(-36 + -30m + (-6 * 9m + -5m * 9m)) = 0
(-36 + -30m + (-54m + -45m2)) = 0

Combine like terms: -30m + -54m = -84m
(-36 + -84m + -45m2) = 0

Solving
-36 + -84m + -45m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '-3'.
-3(12 + 28m + 15m2) = 0

Factor a trinomial.
-3((6 + 5m)(2 + 3m)) = 0

Ignore the factor -3.
Subproblem 1
Set the factor '(6 + 5m)' equal to zero and attempt to solve:

Simplifying
6 + 5m = 0

Solving
6 + 5m = 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 + 5m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5m = 0 + -6
5m = 0 + -6

Combine like terms: 0 + -6 = -6
5m = -6

Divide each side by '5'.
m = -1.2

Simplifying
m = -1.2
Subproblem 2
Set the factor '(2 + 3m)' equal to zero and attempt to solve:

Simplifying
2 + 3m = 0

Solving
2 + 3m = 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 + 3m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3m = 0 + -2
3m = 0 + -2

Combine like terms: 0 + -2 = -2
3m = -2

Divide each side by '3'.
m = -0.6666666667

Simplifying
m = -0.6666666667
Solution
m = {-1.2, -0.6666666667}