(m+7)(m+5)=

Solution for (m+7)(m+5)= equation:

Simplifying
(m + 7)(m + 5) = 0

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

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

Multiply (7 + m) * (5 + m)
(7(5 + m) + m(5 + m)) = 0
((5 * 7 + m * 7) + m(5 + m)) = 0
((35 + 7m) + m(5 + m)) = 0
(35 + 7m + (5 * m + m * m)) = 0
(35 + 7m + (5m + m2)) = 0

Combine like terms: 7m + 5m = 12m
(35 + 12m + m2) = 0

Solving
35 + 12m + m2 = 0

Solving for variable 'm'.

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

Subproblem 1
Set the factor '(7 + m)' equal to zero and attempt to solve:

Simplifying
7 + m = 0

Solving
7 + m = 0

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

Add '-7' to each side of the equation.
7 + -7 + m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + m = 0 + -7
m = 0 + -7

Combine like terms: 0 + -7 = -7
m = -7

Simplifying
m = -7
Subproblem 2
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
Solution
m = {-7, -5}