(q+6)(q+5)=

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

Simplifying
(q + 6)(q + 5) = 0

Reorder the terms:
(6 + q)(q + 5) = 0

Reorder the terms:
(6 + q)(5 + q) = 0

Multiply (6 + q) * (5 + q)
(6(5 + q) + q(5 + q)) = 0
((5 * 6 + q * 6) + q(5 + q)) = 0
((30 + 6q) + q(5 + q)) = 0
(30 + 6q + (5 * q + q * q)) = 0
(30 + 6q + (5q + q2)) = 0

Combine like terms: 6q + 5q = 11q
(30 + 11q + q2) = 0

Solving
30 + 11q + q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(6 + q)(5 + q) = 0

Subproblem 1
Set the factor '(6 + q)' equal to zero and attempt to solve:

Simplifying
6 + q = 0

Solving
6 + q = 0

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

Add '-6' to each side of the equation.
6 + -6 + q = 0 + -6

Combine like terms: 6 + -6 = 0
0 + q = 0 + -6
q = 0 + -6

Combine like terms: 0 + -6 = -6
q = -6

Simplifying
q = -6
Subproblem 2
Set the factor '(5 + q)' equal to zero and attempt to solve:

Simplifying
5 + q = 0

Solving
5 + q = 0

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

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

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

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

Simplifying
q = -5
Solution
q = {-6, -5}