x^9=81x^7

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Solution for x^9=81x^7 equation:


Simplifying
x9 = 81x7

Solving
x9 = 81x7

Solving for variable 'x'.

Reorder the terms:
-81x7 + x9 = 81x7 + -81x7

Combine like terms: 81x7 + -81x7 = 0
-81x7 + x9 = 0

Factor out the Greatest Common Factor (GCF), 'x7'.
x7(-81 + x2) = 0

Factor a difference between two squares.
x7((9 + x)(-9 + 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 '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9

Subproblem 3

Set the factor '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Simplifying x = 9

Solution

x = {-9, 9}

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