(8m-6)(4m+2)=

Solution for (8m-6)(4m+2)= equation:

Simplifying
(8m + -6)(4m + 2) = 0

Reorder the terms:
(-6 + 8m)(4m + 2) = 0

Reorder the terms:
(-6 + 8m)(2 + 4m) = 0

Multiply (-6 + 8m) * (2 + 4m)
(-6(2 + 4m) + 8m * (2 + 4m)) = 0
((2 * -6 + 4m * -6) + 8m * (2 + 4m)) = 0
((-12 + -24m) + 8m * (2 + 4m)) = 0
(-12 + -24m + (2 * 8m + 4m * 8m)) = 0
(-12 + -24m + (16m + 32m2)) = 0

Combine like terms: -24m + 16m = -8m
(-12 + -8m + 32m2) = 0

Solving
-12 + -8m + 32m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-3 + -2m + 8m2) = 0

Factor a trinomial.
4((-1 + -2m)(3 + -4m)) = 0

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

Simplifying
-1 + -2m = 0

Solving
-1 + -2m = 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 + -2m = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2m = 0 + 1
-2m = 0 + 1

Combine like terms: 0 + 1 = 1
-2m = 1

Divide each side by '-2'.
m = -0.5

Simplifying
m = -0.5
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 = {-0.5, 0.75}