3x^6-x^3-24=0

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Solution for 3x^6-x^3-24=0 equation:


Simplifying
3x6 + -1x3 + -24 = 0

Reorder the terms:
-24 + -1x3 + 3x6 = 0

Solving
-24 + -1x3 + 3x6 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -3x3)(3 + -1x3) = 0

Subproblem 1

Set the factor '(-8 + -3x3)' equal to zero and attempt to solve: Simplifying -8 + -3x3 = 0 Solving -8 + -3x3 = 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 + -3x3 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3x3 = 0 + 8 -3x3 = 0 + 8 Combine like terms: 0 + 8 = 8 -3x3 = 8 Divide each side by '-3'. x3 = -2.666666667 Simplifying x3 = -2.666666667 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 '(3 + -1x3)' equal to zero and attempt to solve: Simplifying 3 + -1x3 = 0 Solving 3 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x3 = 0 + -3 -1x3 = 0 + -3 Combine like terms: 0 + -3 = -3 -1x3 = -3 Divide each side by '-1'. x3 = 3 Simplifying x3 = 3 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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