q^2+9q+14=0

Solution for q^2+9q+14=0 equation:

Simplifying
q2 + 9q + 14 = 0

Reorder the terms:
14 + 9q + q2 = 0

Solving
14 + 9q + q2 = 0

Solving for variable 'q'.

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

Subproblem 1
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
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 = {-7, -2}