x^6+3x^3-10=0

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Solution for x^6+3x^3-10=0 equation:


Simplifying
x6 + 3x3 + -10 = 0

Reorder the terms:
-10 + 3x3 + x6 = 0

Solving
-10 + 3x3 + x6 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -1x3)(2 + -1x3) = 0

Subproblem 1

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.

Subproblem 2

Set the factor '(2 + -1x3)' equal to zero and attempt to solve: Simplifying 2 + -1x3 = 0 Solving 2 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x3 = 0 + -2 -1x3 = 0 + -2 Combine like terms: 0 + -2 = -2 -1x3 = -2 Divide each side by '-1'. x3 = 2 Simplifying x3 = 2 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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