(m+3)(m+5)=

Solution for (m+3)(m+5)= equation:

Simplifying
(m + 3)(m + 5) = 0

Reorder the terms:
(3 + m)(m + 5) = 0

Reorder the terms:
(3 + m)(5 + m) = 0

Multiply (3 + m) * (5 + m)
(3(5 + m) + m(5 + m)) = 0
((5 * 3 + m * 3) + m(5 + m)) = 0
((15 + 3m) + m(5 + m)) = 0
(15 + 3m + (5 * m + m * m)) = 0
(15 + 3m + (5m + m2)) = 0

Combine like terms: 3m + 5m = 8m
(15 + 8m + m2) = 0

Solving
15 + 8m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(5 + m)(3 + m) = 0

Subproblem 1
Set the factor '(5 + m)' equal to zero and attempt to solve:

Simplifying
5 + m = 0

Solving
5 + m = 0

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

Add '-5' to each side of the equation.
5 + -5 + m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + m = 0 + -5
m = 0 + -5

Combine like terms: 0 + -5 = -5
m = -5

Simplifying
m = -5
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 = {-5, -3}