y^7-y^2=0

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Solution for y^7-y^2=0 equation:


Simplifying
y7 + -1y2 = 0

Reorder the terms:
-1y2 + y7 = 0

Solving
-1y2 + y7 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(-1 + y5) = 0

Subproblem 1

Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}

Subproblem 2

Set the factor '(-1 + y5)' equal to zero and attempt to solve: Simplifying -1 + y5 = 0 Solving -1 + y5 = 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 + y5 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + y5 = 0 + 1 y5 = 0 + 1 Combine like terms: 0 + 1 = 1 y5 = 1 Simplifying y5 = 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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