2y^3=23y

Solution for 2y^3=23y equation:

Simplifying
2y3 = 23y

Solving
2y3 = 23y

Solving for variable 'y'.

Reorder the terms:
-23y + 2y3 = 23y + -23y

Combine like terms: 23y + -23y = 0
-23y + 2y3 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-23 + 2y2) = 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 '(-23 + 2y2)' equal to zero and attempt to solve:

Simplifying
-23 + 2y2 = 0

Solving
-23 + 2y2 = 0

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

Add '23' to each side of the equation.
-23 + 23 + 2y2 = 0 + 23

Combine like terms: -23 + 23 = 0
0 + 2y2 = 0 + 23
2y2 = 0 + 23

Combine like terms: 0 + 23 = 23
2y2 = 23

Divide each side by '2'.
y2 = 11.5

Simplifying
y2 = 11.5

Take the square root of each side:
y = {-3.391164992, 3.391164992}
Solution
y = {0, -3.391164992, 3.391164992}