x^6-5x^3-24=0

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Solution for x^6-5x^3-24=0 equation:


Simplifying
x6 + -5x3 + -24 = 0

Reorder the terms:
-24 + -5x3 + x6 = 0

Solving
-24 + -5x3 + x6 = 0

Solving for variable 'x'.

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

Subproblem 1

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.

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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