(6m+4)(5m-4)=

Solution for (6m+4)(5m-4)= equation:

Simplifying
(6m + 4)(5m + -4) = 0

Reorder the terms:
(4 + 6m)(5m + -4) = 0

Reorder the terms:
(4 + 6m)(-4 + 5m) = 0

Multiply (4 + 6m) * (-4 + 5m)
(4(-4 + 5m) + 6m * (-4 + 5m)) = 0
((-4 * 4 + 5m * 4) + 6m * (-4 + 5m)) = 0
((-16 + 20m) + 6m * (-4 + 5m)) = 0
(-16 + 20m + (-4 * 6m + 5m * 6m)) = 0
(-16 + 20m + (-24m + 30m2)) = 0

Combine like terms: 20m + -24m = -4m
(-16 + -4m + 30m2) = 0

Solving
-16 + -4m + 30m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + -2m + 15m2) = 0

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

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
Set the factor '(4 + -5m)' equal to zero and attempt to solve:

Simplifying
4 + -5m = 0

Solving
4 + -5m = 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 + -5m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5m = 0 + -4
-5m = 0 + -4

Combine like terms: 0 + -4 = -4
-5m = -4

Divide each side by '-5'.
m = 0.8

Simplifying
m = 0.8
Solution
m = {-0.6666666667, 0.8}