0=6y^3-36y^2

Solution for 0=6y^3-36y^2 equation:

Simplifying
0 = 6y3 + -36y2

Reorder the terms:
0 = -36y2 + 6y3

Solving
0 = -36y2 + 6y3

Solving for variable 'y'.
Remove the zero:
36y2 + -6y3 = -36y2 + 6y3 + 36y2 + -6y3

Reorder the terms:
36y2 + -6y3 = -36y2 + 36y2 + 6y3 + -6y3

Combine like terms: -36y2 + 36y2 = 0
36y2 + -6y3 = 0 + 6y3 + -6y3
36y2 + -6y3 = 6y3 + -6y3

Combine like terms: 6y3 + -6y3 = 0
36y2 + -6y3 = 0

Factor out the Greatest Common Factor (GCF), '6y2'.
6y2(6 + -1y) = 0

Ignore the factor 6.
Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve:

Simplifying
y2 = 0

Solving
y2 = 0

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

Simplifying
y2 = 0

Take the square root of each side:
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}