5y^3-3y=

Solution for 5y^3-3y= equation:

Simplifying
5y3 + -3y = 0

Reorder the terms:
-3y + 5y3 = 0

Solving
-3y + 5y3 = 0

Solving for variable 'y'.

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

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}