(y^3+y)(y-2)=0

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Solution for (y^3+y)(y-2)=0 equation: 


Simplifying
(y3 + y)(y + -2) = 0

Reorder the terms:
(y + y3)(y + -2) = 0

Reorder the terms:
(y + y3)(-2 + y) = 0

Multiply (y + y3) * (-2 + y)
(y(-2 + y) + y3(-2 + y)) = 0
((-2 * y + y * y) + y3(-2 + y)) = 0
((-2y + y2) + y3(-2 + y)) = 0
(-2y + y2 + (-2 * y3 + y * y3)) = 0
(-2y + y2 + (-2y3 + y4)) = 0
(-2y + y2 + -2y3 + y4) = 0

Solving
-2y + y2 + -2y3 + y4 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-2 + y + -2y2 + y3) = 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 + y + -2y2 + y3)' equal to zero and attempt to solve:

Simplifying
-2 + y + -2y2 + y3 = 0

Solving
-2 + y + -2y2 + y3 = 0

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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