(-9m-2)(m-6)=

Solution for (-9m-2)(m-6)= equation:

Simplifying
(-9m + -2)(m + -6) = 0

Reorder the terms:
(-2 + -9m)(m + -6) = 0

Reorder the terms:
(-2 + -9m)(-6 + m) = 0

Multiply (-2 + -9m) * (-6 + m)
(-2(-6 + m) + -9m * (-6 + m)) = 0
((-6 * -2 + m * -2) + -9m * (-6 + m)) = 0
((12 + -2m) + -9m * (-6 + m)) = 0
(12 + -2m + (-6 * -9m + m * -9m)) = 0
(12 + -2m + (54m + -9m2)) = 0

Combine like terms: -2m + 54m = 52m
(12 + 52m + -9m2) = 0

Solving
12 + 52m + -9m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(6 + -1m)(2 + 9m) = 0

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 '(2 + 9m)' equal to zero and attempt to solve:

Simplifying
2 + 9m = 0

Solving
2 + 9m = 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 + 9m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 9m = 0 + -2
9m = 0 + -2

Combine like terms: 0 + -2 = -2
9m = -2

Divide each side by '9'.
m = -0.2222222222

Simplifying
m = -0.2222222222
Solution
m = {6, -0.2222222222}