x^6-217x^3+216=0

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Solution for x^6-217x^3+216=0 equation:


Simplifying
x6 + -217x3 + 216 = 0

Reorder the terms:
216 + -217x3 + x6 = 0

Solving
216 + -217x3 + x6 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -1x3)(216 + -1x3) = 0

Subproblem 1

Set the factor '(1 + -1x3)' equal to zero and attempt to solve: Simplifying 1 + -1x3 = 0 Solving 1 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x3 = 0 + -1 -1x3 = 0 + -1 Combine like terms: 0 + -1 = -1 -1x3 = -1 Divide each side by '-1'. x3 = 1 Simplifying x3 = 1 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 '(216 + -1x3)' equal to zero and attempt to solve: Simplifying 216 + -1x3 = 0 Solving 216 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-216' to each side of the equation. 216 + -216 + -1x3 = 0 + -216 Combine like terms: 216 + -216 = 0 0 + -1x3 = 0 + -216 -1x3 = 0 + -216 Combine like terms: 0 + -216 = -216 -1x3 = -216 Divide each side by '-1'. x3 = 216 Simplifying x3 = 216 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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