q^2+13q+22=0

Solution for q^2+13q+22=0 equation:

Simplifying
q2 + 13q + 22 = 0

Reorder the terms:
22 + 13q + q2 = 0

Solving
22 + 13q + q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(11 + q)(2 + q) = 0

Subproblem 1
Set the factor '(11 + q)' equal to zero and attempt to solve:

Simplifying
11 + q = 0

Solving
11 + q = 0

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

Add '-11' to each side of the equation.
11 + -11 + q = 0 + -11

Combine like terms: 11 + -11 = 0
0 + q = 0 + -11
q = 0 + -11

Combine like terms: 0 + -11 = -11
q = -11

Simplifying
q = -11
Subproblem 2
Set the factor '(2 + q)' equal to zero and attempt to solve:

Simplifying
2 + q = 0

Solving
2 + q = 0

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

Add '-2' to each side of the equation.
2 + -2 + q = 0 + -2

Combine like terms: 2 + -2 = 0
0 + q = 0 + -2
q = 0 + -2

Combine like terms: 0 + -2 = -2
q = -2

Simplifying
q = -2
Solution
q = {-11, -2}