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

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

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

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

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

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

Combine like terms: -45m + 30m = -15m
(-45 + -15m + 30m2) = 0

Solving
-45 + -15m + 30m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '15'.
15(-3 + -1m + 2m2) = 0

Factor a trinomial.
15((-1 + -1m)(3 + -2m)) = 0

Ignore the factor 15.
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 '(3 + -2m)' equal to zero and attempt to solve:

Simplifying
3 + -2m = 0

Solving
3 + -2m = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2m = 0 + -3

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

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

Divide each side by '-2'.
m = 1.5

Simplifying
m = 1.5
Solution
m = {-1, 1.5}