(6m-8)(5m+6)=

Solution for (6m-8)(5m+6)= equation:

Simplifying
(6m + -8)(5m + 6) = 0

Reorder the terms:
(-8 + 6m)(5m + 6) = 0

Reorder the terms:
(-8 + 6m)(6 + 5m) = 0

Multiply (-8 + 6m) * (6 + 5m)
(-8(6 + 5m) + 6m * (6 + 5m)) = 0
((6 * -8 + 5m * -8) + 6m * (6 + 5m)) = 0
((-48 + -40m) + 6m * (6 + 5m)) = 0
(-48 + -40m + (6 * 6m + 5m * 6m)) = 0
(-48 + -40m + (36m + 30m2)) = 0

Combine like terms: -40m + 36m = -4m
(-48 + -4m + 30m2) = 0

Solving
-48 + -4m + 30m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-24 + -2m + 15m2) = 0

Factor a trinomial.
2((-6 + -5m)(4 + -3m)) = 0

Ignore the factor 2.
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 '(4 + -3m)' equal to zero and attempt to solve:

Simplifying
4 + -3m = 0

Solving
4 + -3m = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3m = 0 + -4
-3m = 0 + -4

Combine like terms: 0 + -4 = -4
-3m = -4

Divide each side by '-3'.
m = 1.333333333

Simplifying
m = 1.333333333
Solution
m = {-1.2, 1.333333333}