x^6-22x^3+117=0

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Solution for x^6-22x^3+117=0 equation:


Simplifying
x6 + -22x3 + 117 = 0

Reorder the terms:
117 + -22x3 + x6 = 0

Solving
117 + -22x3 + x6 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + -1x3)(13 + -1x3) = 0

Subproblem 1

Set the factor '(9 + -1x3)' equal to zero and attempt to solve: Simplifying 9 + -1x3 = 0 Solving 9 + -1x3 = 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 + -1x3 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x3 = 0 + -9 -1x3 = 0 + -9 Combine like terms: 0 + -9 = -9 -1x3 = -9 Divide each side by '-1'. x3 = 9 Simplifying x3 = 9 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 '(13 + -1x3)' equal to zero and attempt to solve: Simplifying 13 + -1x3 = 0 Solving 13 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x3 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x3 = 0 + -13 -1x3 = 0 + -13 Combine like terms: 0 + -13 = -13 -1x3 = -13 Divide each side by '-1'. x3 = 13 Simplifying x3 = 13 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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