4y^3-20y=

Solution for 4y^3-20y= equation:

Simplifying
4y3 + -20y = 0

Reorder the terms:
-20y + 4y3 = 0

Solving
-20y + 4y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4y'.
4y(-5 + y2) = 0

Ignore the factor 4.
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 '(-5 + y2)' equal to zero and attempt to solve:

Simplifying
-5 + y2 = 0

Solving
-5 + y2 = 0

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

Add '5' to each side of the equation.
-5 + 5 + y2 = 0 + 5

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

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

Simplifying
y2 = 5

Take the square root of each side:
y = {-2.236067978, 2.236067978}
Solution
y = {0, -2.236067978, 2.236067978}