q^2+7q=-12

Solution for q^2+7q=-12 equation:

Simplifying
q2 + 7q = -12

Reorder the terms:
7q + q2 = -12

Solving
7q + q2 = -12

Solving for variable 'q'.

Reorder the terms:
12 + 7q + q2 = -12 + 12

Combine like terms: -12 + 12 = 0
12 + 7q + q2 = 0

Factor a trinomial.
(4 + q)(3 + q) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(3 + q)' equal to zero and attempt to solve:

Simplifying
3 + q = 0

Solving
3 + q = 0

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

Add '-3' to each side of the equation.
3 + -3 + q = 0 + -3

Combine like terms: 3 + -3 = 0
0 + q = 0 + -3
q = 0 + -3

Combine like terms: 0 + -3 = -3
q = -3

Simplifying
q = -3
Solution
q = {-4, -3}