x^8=-81x^7

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Solution for x^8=-81x^7 equation:


Simplifying
x8 = -81x7

Solving
x8 = -81x7

Solving for variable 'x'.

Reorder the terms:
81x7 + x8 = -81x7 + 81x7

Combine like terms: -81x7 + 81x7 = 0
81x7 + x8 = 0

Factor out the Greatest Common Factor (GCF), 'x7'.
x7(81 + x) = 0

Subproblem 1

Set the factor 'x7' equal to zero and attempt to solve: Simplifying x7 = 0 Solving x7 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x7 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(81 + x)' equal to zero and attempt to solve: Simplifying 81 + x = 0 Solving 81 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + x = 0 + -81 Combine like terms: 81 + -81 = 0 0 + x = 0 + -81 x = 0 + -81 Combine like terms: 0 + -81 = -81 x = -81 Simplifying x = -81

Solution

x = {-81}

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