x^6+3x^3-40=0

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Solution for x^6+3x^3-40=0 equation:


Simplifying
x6 + 3x3 + -40 = 0

Reorder the terms:
-40 + 3x3 + x6 = 0

Solving
-40 + 3x3 + x6 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -1x3)(5 + -1x3) = 0

Subproblem 1

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.

Subproblem 2

Set the factor '(5 + -1x3)' equal to zero and attempt to solve: Simplifying 5 + -1x3 = 0 Solving 5 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x3 = 0 + -5 -1x3 = 0 + -5 Combine like terms: 0 + -5 = -5 -1x3 = -5 Divide each side by '-1'. x3 = 5 Simplifying x3 = 5 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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