X^8+X=0

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Solution for X^8+X=0 equation:


Simplifying
X8 + X = 0

Reorder the terms:
X + X8 = 0

Solving
X + X8 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), 'X'.
X(1 + X7) = 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 + X7)' equal to zero and attempt to solve: Simplifying 1 + X7 = 0 Solving 1 + X7 = 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 + X7 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + X7 = 0 + -1 X7 = 0 + -1 Combine like terms: 0 + -1 = -1 X7 = -1 Simplifying X7 = -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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