8x^6+19x^3-27=0

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Solution for 8x^6+19x^3-27=0 equation:


Simplifying
8x6 + 19x3 + -27 = 0

Reorder the terms:
-27 + 19x3 + 8x6 = 0

Solving
-27 + 19x3 + 8x6 = 0

Solving for variable 'x'.

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

Subproblem 1

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.

Subproblem 2

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. The solution to this equation could not be determined.

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