y^5-8y^2=0

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Solution for y^5-8y^2=0 equation: 


Simplifying
y5 + -8y2 = 0

Reorder the terms:
-8y2 + y5 = 0

Solving
-8y2 + y5 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(-8 + 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 '(-8 + y3)' equal to zero and attempt to solve:

Simplifying
-8 + y3 = 0

Solving
-8 + y3 = 0

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

Add '8' to each side of the equation.
-8 + 8 + y3 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + y3 = 0 + 8
y3 = 0 + 8

Combine like terms: 0 + 8 = 8
y3 = 8

Simplifying
y3 = 8

The solution to this equation could not be determined.

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

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