Q(12-2Q)=0

Solution for Q(12-2Q)=0 equation:

Simplifying
Q(12 + -2Q) = 0
(12 * Q + -2Q * Q) = 0
(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}