-y^3=36y

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Solution for -y^3=36y equation:


Simplifying
-1y3 = 36y

Solving
-1y3 = 36y

Solving for variable 'y'.

Reorder the terms:
-36y + -1y3 = 36y + -36y

Combine like terms: 36y + -36y = 0
-36y + -1y3 = 0

Factor out the Greatest Common Factor (GCF), '-1y'.
-1y(36 + y2) = 0

Ignore the factor -1.

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 '(36 + y2)' equal to zero and attempt to solve: Simplifying 36 + y2 = 0 Solving 36 + y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + y2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + y2 = 0 + -36 y2 = 0 + -36 Combine like terms: 0 + -36 = -36 y2 = -36 Simplifying y2 = -36 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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