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

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

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

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

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

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

Combine like terms: 12m + -2m = 10m
(-8 + 10m + 3m2) = 0

Solving
-8 + 10m + 3m2 = 0

Solving for variable 'm'.

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

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

Simplifying
-4 + -1m = 0

Solving
-4 + -1m = 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 + -1m = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1m = 0 + 4
-1m = 0 + 4

Combine like terms: 0 + 4 = 4
-1m = 4

Divide each side by '-1'.
m = -4

Simplifying
m = -4
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 = {-4, 0.6666666667}