q^2+24q+119=0

Solution for q^2+24q+119=0 equation:

Simplifying
q2 + 24q + 119 = 0

Reorder the terms:
119 + 24q + q2 = 0

Solving
119 + 24q + q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(17 + q)(7 + 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 '(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 = {-17, -7}