6x^6+x^3-2=0

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Solution for 6x^6+x^3-2=0 equation:


Simplifying
6x6 + x3 + -2 = 0

Reorder the terms:
-2 + x3 + 6x6 = 0

Solving
-2 + x3 + 6x6 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -3x3)(1 + -2x3) = 0

Subproblem 1

Set the factor '(-2 + -3x3)' equal to zero and attempt to solve: Simplifying -2 + -3x3 = 0 Solving -2 + -3x3 = 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 + -3x3 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3x3 = 0 + 2 -3x3 = 0 + 2 Combine like terms: 0 + 2 = 2 -3x3 = 2 Divide each side by '-3'. x3 = -0.6666666667 Simplifying x3 = -0.6666666667 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 + -2x3)' equal to zero and attempt to solve: Simplifying 1 + -2x3 = 0 Solving 1 + -2x3 = 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 + -2x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x3 = 0 + -1 -2x3 = 0 + -1 Combine like terms: 0 + -1 = -1 -2x3 = -1 Divide each side by '-2'. x3 = 0.5 Simplifying x3 = 0.5 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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