x^7=36x^5

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Solution for x^7=36x^5 equation:


Simplifying
x7 = 36x5

Solving
x7 = 36x5

Solving for variable 'x'.

Reorder the terms:
-36x5 + x7 = 36x5 + -36x5

Combine like terms: 36x5 + -36x5 = 0
-36x5 + x7 = 0

Factor out the Greatest Common Factor (GCF), 'x5'.
x5(-36 + x2) = 0

Factor a difference between two squares.
x5((6 + x)(-6 + x)) = 0

Subproblem 1

Set the factor 'x5' equal to zero and attempt to solve: Simplifying x5 = 0 Solving x5 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x5 = 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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6

Subproblem 3

Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6

Solution

x = {-6, 6}

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