y^3-12y+20y=0

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Solution for y^3-12y+20y=0 equation: 


Simplifying
y3 + -12y + 20y = 0

Reorder the terms:
-12y + 20y + y3 = 0

Combine like terms: -12y + 20y = 8y
8y + y3 = 0

Solving
8y + y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(8 + 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 '(8 + y2)' equal to zero and attempt to solve:

Simplifying
8 + y2 = 0

Solving
8 + y2 = 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 + y2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + y2 = 0 + -8
y2 = 0 + -8

Combine like terms: 0 + -8 = -8
y2 = -8

Simplifying
y2 = -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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