(y^4)+(2y^2)+(y)=0

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Solution for (y^4)+(2y^2)+(y)=0 equation: 


Simplifying
(y4) + (2y2) + (y) = 0
y4 + (2y2) + (y) = 0
y4 + (2y2) + y = 0

Reorder the terms:
y + (2y2) + y4 = 0

Solving
y + (2y2) + y4 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(1 + (2y) + 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 '(1 + (2y) + y3)' equal to zero and attempt to solve:

Simplifying
1 + (2y) + y3 = 0

Solving
1 + (2y) + 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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