10y^3-15y^2=0

Solution for 10y^3-15y^2=0 equation:

Simplifying
10y3 + -15y2 = 0

Reorder the terms:
-15y2 + 10y3 = 0

Solving
-15y2 + 10y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '5y2'.
5y2(-3 + 2y) = 0

Ignore the factor 5.
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 '(-3 + 2y)' equal to zero and attempt to solve:

Simplifying
-3 + 2y = 0

Solving
-3 + 2y = 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 + 2y = 0 + 3

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

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

Divide each side by '2'.
y = 1.5

Simplifying
y = 1.5
Solution
y = {0, 1.5}