y^5+5y=

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Solution for y^5+5y= equation: 


Simplifying
y5 + 5y = 0

Reorder the terms:
5y + y5 = 0

Solving
5y + y5 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(5 + y4) = 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 '(5 + y4)' equal to zero and attempt to solve:

Simplifying
5 + y4 = 0

Solving
5 + y4 = 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 + y4 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + y4 = 0 + -5
y4 = 0 + -5

Combine like terms: 0 + -5 = -5
y4 = -5

Simplifying
y4 = -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}

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