y^3+5y=0

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Solution for y^3+5y=0 equation:


Simplifying
y3 + 5y = 0

Reorder the terms:
5y + y3 = 0

Solving
5y + y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(5 + y2) = 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 + y2)' equal to zero and attempt to solve: Simplifying 5 + y2 = 0 Solving 5 + y2 = 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 + y2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + y2 = 0 + -5 y2 = 0 + -5 Combine like terms: 0 + -5 = -5 y2 = -5 Simplifying y2 = -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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