216x^6-665x^3-216=0

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Solution for 216x^6-665x^3-216=0 equation:


Simplifying
216x6 + -665x3 + -216 = 0

Reorder the terms:
-216 + -665x3 + 216x6 = 0

Solving
-216 + -665x3 + 216x6 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -27x3)(27 + -8x3) = 0

Subproblem 1

Set the factor '(-8 + -27x3)' equal to zero and attempt to solve: Simplifying -8 + -27x3 = 0 Solving -8 + -27x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -27x3 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -27x3 = 0 + 8 -27x3 = 0 + 8 Combine like terms: 0 + 8 = 8 -27x3 = 8 Divide each side by '-27'. x3 = -0.2962962963 Simplifying x3 = -0.2962962963 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 '(27 + -8x3)' equal to zero and attempt to solve: Simplifying 27 + -8x3 = 0 Solving 27 + -8x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -8x3 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -8x3 = 0 + -27 -8x3 = 0 + -27 Combine like terms: 0 + -27 = -27 -8x3 = -27 Divide each side by '-8'. x3 = 3.375 Simplifying x3 = 3.375 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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