(x^6)+(19x^3)-216=0

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Solution for (x^6)+(19x^3)-216=0 equation:


Simplifying
(x6) + (19x3) + -216 = 0
x6 + (19x3) + -216 = 0

Reorder the terms:
-216 + (19x3) + x6 = 0

Solving
-216 + (19x3) + x6 = 0

Solving for variable 'x'.

Factor a trinomial.
(-27 + -1x3)(8 + -1x3) = 0

Subproblem 1

Set the factor '(-27 + -1x3)' equal to zero and attempt to solve: Simplifying -27 + -1x3 = 0 Solving -27 + -1x3 = 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 + -1x3 = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -1x3 = 0 + 27 -1x3 = 0 + 27 Combine like terms: 0 + 27 = 27 -1x3 = 27 Divide each side by '-1'. x3 = -27 Simplifying x3 = -27 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 '(8 + -1x3)' equal to zero and attempt to solve: Simplifying 8 + -1x3 = 0 Solving 8 + -1x3 = 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 + -1x3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x3 = 0 + -8 -1x3 = 0 + -8 Combine like terms: 0 + -8 = -8 -1x3 = -8 Divide each side by '-1'. x3 = 8 Simplifying x3 = 8 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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