-4q^2=-12q

Solution for -4q^2=-12q equation:

Simplifying
-4q2 = -12q

Solving
-4q2 = -12q

Solving for variable 'q'.

Reorder the terms:
12q + -4q2 = -12q + 12q

Combine like terms: -12q + 12q = 0
12q + -4q2 = 0

Factor out the Greatest Common Factor (GCF), '4q'.
4q(3 + -1q) = 0

Ignore the factor 4.
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 '(3 + -1q)' equal to zero and attempt to solve:

Simplifying
3 + -1q = 0

Solving
3 + -1q = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1q = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1q = 0 + -3
-1q = 0 + -3

Combine like terms: 0 + -3 = -3
-1q = -3

Divide each side by '-1'.
q = 3

Simplifying
q = 3
Solution
q = {0, 3}