y^2(y^2-3y-1)=y

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Solution for y^2(y^2-3y-1)=y equation: 


Simplifying
y2(y2 + -3y + -1) = y

Reorder the terms:
y2(-1 + -3y + y2) = y
(-1 * y2 + -3y * y2 + y2 * y2) = y
(-1y2 + -3y3 + y4) = y

Solving
-1y2 + -3y3 + y4 = y

Solving for variable 'y'.

Reorder the terms:
-1y + -1y2 + -3y3 + y4 = y + -1y

Combine like terms: y + -1y = 0
-1y + -1y2 + -3y3 + y4 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-1 + -1y + -3y2 + 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 + -1y + -3y2 + y3)' equal to zero and attempt to solve:

Simplifying
-1 + -1y + -3y2 + y3 = 0

Solving
-1 + -1y + -3y2 + 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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