6y(12-18y)=

Solution for 6y(12-18y)= equation:

Simplifying
6y(12 + -18y) = 0
(12 * 6y + -18y * 6y) = 0
(72y + -108y2) = 0

Solving
72y + -108y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '36y'.
36y(2 + -3y) = 0

Ignore the factor 36.
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 '(2 + -3y)' equal to zero and attempt to solve:

Simplifying
2 + -3y = 0

Solving
2 + -3y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3y = 0 + -2
-3y = 0 + -2

Combine like terms: 0 + -2 = -2
-3y = -2

Divide each side by '-3'.
y = 0.6666666667

Simplifying
y = 0.6666666667
Solution
y = {0, 0.6666666667}