-3q^2-24q-36=

Solution for -3q^2-24q-36= equation:

Simplifying
-3q2 + -24q + -36 = 0

Reorder the terms:
-36 + -24q + -3q2 = 0

Solving
-36 + -24q + -3q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '-3'.
-3(12 + 8q + q2) = 0

Factor a trinomial.
-3((6 + q)(2 + q)) = 0

Ignore the factor -3.
Subproblem 1
Set the factor '(6 + q)' equal to zero and attempt to solve:

Simplifying
6 + q = 0

Solving
6 + q = 0

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

Add '-6' to each side of the equation.
6 + -6 + q = 0 + -6

Combine like terms: 6 + -6 = 0
0 + q = 0 + -6
q = 0 + -6

Combine like terms: 0 + -6 = -6
q = -6

Simplifying
q = -6
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 = {-6, -2}