33y(y-6)(y-6)=0

Solution for 33y(y-6)(y-6)=0 equation:

Simplifying
33y(y + -6)(y + -6) = 0

Reorder the terms:
33y(-6 + y)(y + -6) = 0

Reorder the terms:
33y(-6 + y)(-6 + y) = 0

Multiply (-6 + y) * (-6 + y)
33y(-6(-6 + y) + y(-6 + y)) = 0
33y((-6 * -6 + y * -6) + y(-6 + y)) = 0
33y((36 + -6y) + y(-6 + y)) = 0
33y(36 + -6y + (-6 * y + y * y)) = 0
33y(36 + -6y + (-6y + y2)) = 0

Combine like terms: -6y + -6y = -12y
33y(36 + -12y + y2) = 0
(36 * 33y + -12y * 33y + y2 * 33y) = 0
(1188y + -396y2 + 33y3) = 0

Solving
1188y + -396y2 + 33y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '33y'.
33y(36 + -12y + y2) = 0

Factor a trinomial.
33y((6 + -1y)(6 + -1y)) = 0

Ignore the factor 33.
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
Subproblem 3
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, 6}