y^4+y=0

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Solution for y^4+y=0 equation:


Simplifying
y4 + y = 0

Reorder the terms:
y + y4 = 0

Solving
y + y4 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(1 + 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 + y3)' equal to zero and attempt to solve: Simplifying 1 + y3 = 0 Solving 1 + y3 = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + y3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y3 = 0 + -1 y3 = 0 + -1 Combine like terms: 0 + -1 = -1 y3 = -1 Simplifying y3 = -1 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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