q^2+15q+56=0

Solution for q^2+15q+56=0 equation:

Simplifying
q2 + 15q + 56 = 0

Reorder the terms:
56 + 15q + q2 = 0

Solving
56 + 15q + q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(8 + q)(7 + q) = 0

Subproblem 1
Set the factor '(8 + q)' equal to zero and attempt to solve:

Simplifying
8 + q = 0

Solving
8 + q = 0

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

Add '-8' to each side of the equation.
8 + -8 + q = 0 + -8

Combine like terms: 8 + -8 = 0
0 + q = 0 + -8
q = 0 + -8

Combine like terms: 0 + -8 = -8
q = -8

Simplifying
q = -8
Subproblem 2
Set the factor '(7 + q)' equal to zero and attempt to solve:

Simplifying
7 + q = 0

Solving
7 + q = 0

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

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

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

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

Simplifying
q = -7
Solution
q = {-8, -7}