q^2+22q+85=0

Solution for q^2+22q+85=0 equation:

Simplifying
q2 + 22q + 85 = 0

Reorder the terms:
85 + 22q + q2 = 0

Solving
85 + 22q + q2 = 0

Solving for variable 'q'.

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

Subproblem 1
Set the factor '(17 + q)' equal to zero and attempt to solve:

Simplifying
17 + q = 0

Solving
17 + q = 0

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

Add '-17' to each side of the equation.
17 + -17 + q = 0 + -17

Combine like terms: 17 + -17 = 0
0 + q = 0 + -17
q = 0 + -17

Combine like terms: 0 + -17 = -17
q = -17

Simplifying
q = -17
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 = {-17, -5}