-12y(y-6)=0

Solution for -12y(y-6)=0 equation:

Simplifying
-12y(y + -6) = 0

Reorder the terms:
-12y(-6 + y) = 0
(-6 * -12y + y * -12y) = 0
(72y + -12y2) = 0

Solving
72y + -12y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '12y'.
12y(6 + -1y) = 0

Ignore the factor 12.
Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0
Subproblem 2
Set the factor '(6 + -1y)' equal to zero and attempt to solve:

Simplifying
6 + -1y = 0

Solving
6 + -1y = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1y = 0 + -6

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

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

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

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