(m+6)(m+7)=

Solution for (m+6)(m+7)= equation:

Simplifying
(m + 6)(m + 7) = 0

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

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

Multiply (6 + m) * (7 + m)
(6(7 + m) + m(7 + m)) = 0
((7 * 6 + m * 6) + m(7 + m)) = 0
((42 + 6m) + m(7 + m)) = 0
(42 + 6m + (7 * m + m * m)) = 0
(42 + 6m + (7m + m2)) = 0

Combine like terms: 6m + 7m = 13m
(42 + 13m + m2) = 0

Solving
42 + 13m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(7 + m)(6 + 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 '(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 = {-7, -6}