10y^3-6y^2=

Solution for 10y^3-6y^2= equation:

Simplifying
10y3 + -6y2 = 0

Reorder the terms:
-6y2 + 10y3 = 0

Solving
-6y2 + 10y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y2'.
2y2(-3 + 5y) = 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 '(-3 + 5y)' equal to zero and attempt to solve:

Simplifying
-3 + 5y = 0

Solving
-3 + 5y = 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 + 5y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5y = 0 + 3
5y = 0 + 3

Combine like terms: 0 + 3 = 3
5y = 3

Divide each side by '5'.
y = 0.6

Simplifying
y = 0.6
Solution
y = {0, 0.6}