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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