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

Solution for (m+2)(m+4)=0 equation:

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

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

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

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

Combine like terms: 2m + 4m = 6m
(8 + 6m + m2) = 0

Solving
8 + 6m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(4 + m)(2 + m) = 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 + m)' equal to zero and attempt to solve:

Simplifying
2 + m = 0

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

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

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

Simplifying
m = -2
Solution
m = {-4, -2}