(m+3)(m+8)=0

Solution for (m+3)(m+8)=0 equation:

Simplifying
(m + 3)(m + 8) = 0

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

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

Multiply (3 + m) * (8 + m)
(3(8 + m) + m(8 + m)) = 0
((8 * 3 + m * 3) + m(8 + m)) = 0
((24 + 3m) + m(8 + m)) = 0
(24 + 3m + (8 * m + m * m)) = 0
(24 + 3m + (8m + m2)) = 0

Combine like terms: 3m + 8m = 11m
(24 + 11m + m2) = 0

Solving
24 + 11m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(8 + m)(3 + 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 '(3 + m)' equal to zero and attempt to solve:

Simplifying
3 + m = 0

Solving
3 + m = 0

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

Add '-3' to each side of the equation.
3 + -3 + m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + m = 0 + -3
m = 0 + -3

Combine like terms: 0 + -3 = -3
m = -3

Simplifying
m = -3
Solution
m = {-8, -3}