-6q^2-40q-50=0

Solution for -6q^2-40q-50=0 equation:

Simplifying
-6q2 + -40q + -50 = 0

Reorder the terms:
-50 + -40q + -6q2 = 0

Solving
-50 + -40q + -6q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(25 + 20q + 3q2) = 0

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

Ignore the factor -2.
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 '(5 + 3q)' equal to zero and attempt to solve:

Simplifying
5 + 3q = 0

Solving
5 + 3q = 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 + 3q = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3q = 0 + -5
3q = 0 + -5

Combine like terms: 0 + -5 = -5
3q = -5

Divide each side by '3'.
q = -1.666666667

Simplifying
q = -1.666666667
Solution
q = {-5, -1.666666667}