(m+5)(m+6)=6

Solution for (m+5)(m+6)=6 equation:

Simplifying
(m + 5)(m + 6) = 6

Reorder the terms:
(5 + m)(m + 6) = 6

Reorder the terms:
(5 + m)(6 + m) = 6

Multiply (5 + m) * (6 + m)
(5(6 + m) + m(6 + m)) = 6
((6 * 5 + m * 5) + m(6 + m)) = 6
((30 + 5m) + m(6 + m)) = 6
(30 + 5m + (6 * m + m * m)) = 6
(30 + 5m + (6m + m2)) = 6

Combine like terms: 5m + 6m = 11m
(30 + 11m + m2) = 6

Solving
30 + 11m + m2 = 6

Solving for variable 'm'.

Reorder the terms:
30 + -6 + 11m + m2 = 6 + -6

Combine like terms: 30 + -6 = 24
24 + 11m + m2 = 6 + -6

Combine like terms: 6 + -6 = 0
24 + 11m + m2 = 0

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}