12Q-Q^2=0

Solution for 12Q-Q^2=0 equation:

Simplifying
12Q + -1Q2 = 0

Solving
12Q + -1Q2 = 0

Solving for variable 'Q'.

Factor out the Greatest Common Factor (GCF), 'Q'.
Q(12 + -1Q) = 0

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 '(12 + -1Q)' equal to zero and attempt to solve:

Simplifying
12 + -1Q = 0

Solving
12 + -1Q = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1Q = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1Q = 0 + -12
-1Q = 0 + -12

Combine like terms: 0 + -12 = -12
-1Q = -12

Divide each side by '-1'.
Q = 12

Simplifying
Q = 12
Solution
Q = {0, 12}