324=x^8

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Solution for 324=x^8 equation:


Simplifying
324 = x8

Solving
324 = x8

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x8' to each side of the equation.
324 + -1x8 = x8 + -1x8

Combine like terms: x8 + -1x8 = 0
324 + -1x8 = 0

Add '-324' to each side of the equation.
324 + -324 + -1x8 = 0 + -324

Combine like terms: 324 + -324 = 0
0 + -1x8 = 0 + -324
-1x8 = 0 + -324

Combine like terms: 0 + -324 = -324
-1x8 = -324

Divide each side by '-1'.
x8 = 324

Simplifying
x8 = 324

Reorder the terms:
-324 + x8 = 324 + -324

Combine like terms: 324 + -324 = 0
-324 + x8 = 0

Factor a difference between two squares.
(18 + x4)(-18 + x4) = 0

Subproblem 1

Set the factor '(18 + x4)' equal to zero and attempt to solve: Simplifying 18 + x4 = 0 Solving 18 + x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + x4 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + x4 = 0 + -18 x4 = 0 + -18 Combine like terms: 0 + -18 = -18 x4 = -18 Simplifying x4 = -18 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 '(-18 + x4)' equal to zero and attempt to solve: Simplifying -18 + x4 = 0 Solving -18 + x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + x4 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + x4 = 0 + 18 x4 = 0 + 18 Combine like terms: 0 + 18 = 18 x4 = 18 Simplifying x4 = 18 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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