-6q^2-3q=0

Solution for -6q^2-3q=0 equation:

Simplifying
-6q2 + -3q = 0

Reorder the terms:
-3q + -6q2 = 0

Solving
-3q + -6q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '-3q'.
-3q(1 + 2q) = 0

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

Simplifying
q = 0

Solving
q = 0

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

Simplifying
q = 0
Subproblem 2
Set the factor '(1 + 2q)' equal to zero and attempt to solve:

Simplifying
1 + 2q = 0

Solving
1 + 2q = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2q = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2q = 0 + -1
2q = 0 + -1

Combine like terms: 0 + -1 = -1
2q = -1

Divide each side by '2'.
q = -0.5

Simplifying
q = -0.5
Solution
q = {0, -0.5}