3y(6-2y)=

Solution for 3y(6-2y)= equation:

Simplifying
3y(6 + -2y) = 0
(6 * 3y + -2y * 3y) = 0
(18y + -6y2) = 0

Solving
18y + -6y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '6y'.
6y(3 + -1y) = 0

Ignore the factor 6.
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 '(3 + -1y)' equal to zero and attempt to solve:

Simplifying
3 + -1y = 0

Solving
3 + -1y = 0

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

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

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

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

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

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