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

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

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

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

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

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

Combine like terms: 2m + 12m = 14m
(8 + 14m + 3m2) = 0

Solving
8 + 14m + 3m2 = 0

Solving for variable 'm'.

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

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

Simplifying
4 + m = 0

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

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

Combine like terms: 0 + -4 = -4
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}