(m+2)(m+6)=0

Solution for (m+2)(m+6)=0 equation:

Simplifying
(m + 2)(m + 6) = 0

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

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

Multiply (2 + m) * (6 + m)
(2(6 + m) + m(6 + m)) = 0
((6 * 2 + m * 2) + m(6 + m)) = 0
((12 + 2m) + m(6 + m)) = 0
(12 + 2m + (6 * m + m * m)) = 0
(12 + 2m + (6m + m2)) = 0

Combine like terms: 2m + 6m = 8m
(12 + 8m + m2) = 0

Solving
12 + 8m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(6 + m)(2 + m) = 0

Subproblem 1
Set the factor '(6 + m)' equal to zero and attempt to solve:

Simplifying
6 + m = 0

Solving
6 + m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + m = 0 + -6
m = 0 + -6

Combine like terms: 0 + -6 = -6
m = -6

Simplifying
m = -6
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 = {-6, -2}