x^11-x=

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Solution for x^11-x= equation:


Simplifying
x11 + -1x = 0

Reorder the terms:
-1x + x11 = 0

Solving
-1x + x11 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1 + x10) = 0

Factor a difference between two squares.
x((1 + x5)(-1 + x5)) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(1 + x5)' equal to zero and attempt to solve: Simplifying 1 + x5 = 0 Solving 1 + x5 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x5 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x5 = 0 + -1 x5 = 0 + -1 Combine like terms: 0 + -1 = -1 x5 = -1 Simplifying x5 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(-1 + x5)' equal to zero and attempt to solve: Simplifying -1 + x5 = 0 Solving -1 + x5 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x5 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x5 = 0 + 1 x5 = 0 + 1 Combine like terms: 0 + 1 = 1 x5 = 1 Simplifying x5 = 1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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