-3q^2-21q-30=

Solution for -3q^2-21q-30= equation:

Simplifying
-3q2 + -21q + -30 = 0

Reorder the terms:
-30 + -21q + -3q2 = 0

Solving
-30 + -21q + -3q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '-3'.
-3(10 + 7q + q2) = 0

Factor a trinomial.
-3((5 + q)(2 + q)) = 0

Ignore the factor -3.
Subproblem 1
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
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 = {-5, -2}