y^3=-25y

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Solution for y^3=-25y equation:


Simplifying
y3 = -25y

Solving
y3 = -25y

Solving for variable 'y'.

Reorder the terms:
25y + y3 = -25y + 25y

Combine like terms: -25y + 25y = 0
25y + y3 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(25 + 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 '(25 + y2)' equal to zero and attempt to solve: Simplifying 25 + y2 = 0 Solving 25 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + y2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + y2 = 0 + -25 y2 = 0 + -25 Combine like terms: 0 + -25 = -25 y2 = -25 Simplifying y2 = -25 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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