-2q^2+12q=0

Solution for -2q^2+12q=0 equation:

Simplifying
-2q2 + 12q = 0

Reorder the terms:
12q + -2q2 = 0

Solving
12q + -2q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '2q'.
2q(6 + -1q) = 0

Ignore the factor 2.
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 '(6 + -1q)' equal to zero and attempt to solve:

Simplifying
6 + -1q = 0

Solving
6 + -1q = 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 + -1q = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1q = 0 + -6
-1q = 0 + -6

Combine like terms: 0 + -6 = -6
-1q = -6

Divide each side by '-1'.
q = 6

Simplifying
q = 6
Solution
q = {0, 6}