y^4-y^3+y^2-y=0

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Solution for y^4-y^3+y^2-y=0 equation:


Simplifying
y4 + -1y3 + y2 + -1y = 0

Reorder the terms:
-1y + y2 + -1y3 + y4 = 0

Solving
-1y + y2 + -1y3 + y4 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-1 + y + -1y2 + 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 + y + -1y2 + y3)' equal to zero and attempt to solve: Simplifying -1 + y + -1y2 + y3 = 0 Solving -1 + y + -1y2 + 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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