(8m-6)(5m+3)=

Solution for (8m-6)(5m+3)= equation:

Simplifying
(8m + -6)(5m + 3) = 0

Reorder the terms:
(-6 + 8m)(5m + 3) = 0

Reorder the terms:
(-6 + 8m)(3 + 5m) = 0

Multiply (-6 + 8m) * (3 + 5m)
(-6(3 + 5m) + 8m * (3 + 5m)) = 0
((3 * -6 + 5m * -6) + 8m * (3 + 5m)) = 0
((-18 + -30m) + 8m * (3 + 5m)) = 0
(-18 + -30m + (3 * 8m + 5m * 8m)) = 0
(-18 + -30m + (24m + 40m2)) = 0

Combine like terms: -30m + 24m = -6m
(-18 + -6m + 40m2) = 0

Solving
-18 + -6m + 40m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-9 + -3m + 20m2) = 0

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

Ignore the factor 2.
Subproblem 1
Set the factor '(-3 + -5m)' equal to zero and attempt to solve:

Simplifying
-3 + -5m = 0

Solving
-3 + -5m = 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 + -5m = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5m = 0 + 3
-5m = 0 + 3

Combine like terms: 0 + 3 = 3
-5m = 3

Divide each side by '-5'.
m = -0.6

Simplifying
m = -0.6
Subproblem 2
Set the factor '(3 + -4m)' equal to zero and attempt to solve:

Simplifying
3 + -4m = 0

Solving
3 + -4m = 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 + -4m = 0 + -3

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

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

Divide each side by '-4'.
m = 0.75

Simplifying
m = 0.75
Solution
m = {-0.6, 0.75}