(-4m+6)(3m+2)=

Solution for (-4m+6)(3m+2)= equation:

Simplifying
(-4m + 6)(3m + 2) = 0

Reorder the terms:
(6 + -4m)(3m + 2) = 0

Reorder the terms:
(6 + -4m)(2 + 3m) = 0

Multiply (6 + -4m) * (2 + 3m)
(6(2 + 3m) + -4m * (2 + 3m)) = 0
((2 * 6 + 3m * 6) + -4m * (2 + 3m)) = 0
((12 + 18m) + -4m * (2 + 3m)) = 0
(12 + 18m + (2 * -4m + 3m * -4m)) = 0
(12 + 18m + (-8m + -12m2)) = 0

Combine like terms: 18m + -8m = 10m
(12 + 10m + -12m2) = 0

Solving
12 + 10m + -12m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + 5m + -6m2) = 0

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

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
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
Solution
m = {1.5, -0.6666666667}