(m+6)*(m+8)=0

Solution for (m+6)*(m+8)=0 equation:

Simplifying
(m + 6)(m + 8) = 0

Reorder the terms:
(6 + m)(m + 8) = 0

Reorder the terms:
(6 + m)(8 + m) = 0

Multiply (6 + m) * (8 + m)
(6(8 + m) + m(8 + m)) = 0
((8 * 6 + m * 6) + m(8 + m)) = 0
((48 + 6m) + m(8 + m)) = 0
(48 + 6m + (8 * m + m * m)) = 0
(48 + 6m + (8m + m2)) = 0

Combine like terms: 6m + 8m = 14m
(48 + 14m + m2) = 0

Solving
48 + 14m + m2 = 0

Solving for variable 'm'.

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

Subproblem 1
Set the factor '(8 + m)' equal to zero and attempt to solve:

Simplifying
8 + m = 0

Solving
8 + m = 0

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

Add '-8' to each side of the equation.
8 + -8 + m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + m = 0 + -8
m = 0 + -8

Combine like terms: 0 + -8 = -8
m = -8

Simplifying
m = -8
Subproblem 2
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
Solution
m = {-8, -6}