x^7=8x

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Solution for x^7=8x equation:


Simplifying
x7 = 8x

Solving
x7 = 8x

Solving for variable 'x'.

Reorder the terms:
-8x + x7 = 8x + -8x

Combine like terms: 8x + -8x = 0
-8x + x7 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-8 + x6) = 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 '(-8 + x6)' equal to zero and attempt to solve: Simplifying -8 + x6 = 0 Solving -8 + x6 = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x6 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x6 = 0 + 8 x6 = 0 + 8 Combine like terms: 0 + 8 = 8 x6 = 8 Simplifying x6 = 8 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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