y^3+12y^3+36y=0

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Solution for y^3+12y^3+36y=0 equation:


Simplifying
y3 + 12y3 + 36y = 0

Reorder the terms:
36y + y3 + 12y3 = 0

Combine like terms: y3 + 12y3 = 13y3
36y + 13y3 = 0

Solving
36y + 13y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(36 + 13y2) = 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 '(36 + 13y2)' equal to zero and attempt to solve: Simplifying 36 + 13y2 = 0 Solving 36 + 13y2 = 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 + 13y2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 13y2 = 0 + -36 13y2 = 0 + -36 Combine like terms: 0 + -36 = -36 13y2 = -36 Divide each side by '13'. y2 = -2.769230769 Simplifying y2 = -2.769230769 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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