y^5-5y^2=0

Solution for y^5-5y^2=0 equation:

Simplifying
y5 + -5y2 = 0

Reorder the terms:
-5y2 + y5 = 0

Solving
-5y2 + y5 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(-5 + y3) = 0

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 '(-5 + y3)' equal to zero and attempt to solve:

Simplifying
-5 + y3 = 0

Solving
-5 + y3 = 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 + y3 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + y3 = 0 + 5
y3 = 0 + 5

Combine like terms: 0 + 5 = 5
y3 = 5

Simplifying
y3 = 5

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
y = {0}