6y^3-2y^2=

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

Simplifying
6y3 + -2y2 = 0

Reorder the terms:
-2y2 + 6y3 = 0

Solving
-2y2 + 6y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y2'.
2y2(-1 + 3y) = 0

Ignore the factor 2.
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 '(-1 + 3y)' equal to zero and attempt to solve:

Simplifying
-1 + 3y = 0

Solving
-1 + 3y = 0

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

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

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

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

Divide each side by '3'.
y = 0.3333333333

Simplifying
y = 0.3333333333
Solution
y = {0, 0.3333333333}