q^2+13q+36=0

Solution for q^2+13q+36=0 equation:

Simplifying
q2 + 13q + 36 = 0

Reorder the terms:
36 + 13q + q2 = 0

Solving
36 + 13q + q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(9 + q)(4 + q) = 0

Subproblem 1
Set the factor '(9 + q)' equal to zero and attempt to solve:

Simplifying
9 + q = 0

Solving
9 + q = 0

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

Add '-9' to each side of the equation.
9 + -9 + q = 0 + -9

Combine like terms: 9 + -9 = 0
0 + q = 0 + -9
q = 0 + -9

Combine like terms: 0 + -9 = -9
q = -9

Simplifying
q = -9
Subproblem 2
Set the factor '(4 + q)' equal to zero and attempt to solve:

Simplifying
4 + q = 0

Solving
4 + q = 0

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

Add '-4' to each side of the equation.
4 + -4 + q = 0 + -4

Combine like terms: 4 + -4 = 0
0 + q = 0 + -4
q = 0 + -4

Combine like terms: 0 + -4 = -4
q = -4

Simplifying
q = -4
Solution
q = {-9, -4}