6y-10y^3=0

Solution for 6y-10y^3=0 equation:

Simplifying
6y + -10y3 = 0

Solving
6y + -10y3 = 0

Solving for variable 'y'.

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

Ignore the factor 2.
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 '(3 + -5y2)' equal to zero and attempt to solve:

Simplifying
3 + -5y2 = 0

Solving
3 + -5y2 = 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 + -5y2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5y2 = 0 + -3
-5y2 = 0 + -3

Combine like terms: 0 + -3 = -3
-5y2 = -3

Divide each side by '-5'.
y2 = 0.6

Simplifying
y2 = 0.6

Take the square root of each side:
y = {-0.774596669, 0.774596669}
Solution
y = {0, -0.774596669, 0.774596669}