y^3-6y+8y=0

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Solution for y^3-6y+8y=0 equation: 


Simplifying
y3 + -6y + 8y = 0

Reorder the terms:
-6y + 8y + y3 = 0

Combine like terms: -6y + 8y = 2y
2y + y3 = 0

Solving
2y + y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(2 + 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 '(2 + y2)' equal to zero and attempt to solve:

Simplifying
2 + y2 = 0

Solving
2 + y2 = 0

Move all terms containing y to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + y2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + y2 = 0 + -2
y2 = 0 + -2

Combine like terms: 0 + -2 = -2
y2 = -2

Simplifying
y2 = -2

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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