9x^6-6x^3+1=0

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Solution for 9x^6-6x^3+1=0 equation:


Simplifying
9x6 + -6x3 + 1 = 0

Reorder the terms:
1 + -6x3 + 9x6 = 0

Solving
1 + -6x3 + 9x6 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(1 + -3x3)' equal to zero and attempt to solve: Simplifying 1 + -3x3 = 0 Solving 1 + -3x3 = 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 + -3x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x3 = 0 + -1 -3x3 = 0 + -1 Combine like terms: 0 + -1 = -1 -3x3 = -1 Divide each side by '-3'. x3 = 0.3333333333 Simplifying x3 = 0.3333333333 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 + -3x3)' equal to zero and attempt to solve: Simplifying 1 + -3x3 = 0 Solving 1 + -3x3 = 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 + -3x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x3 = 0 + -1 -3x3 = 0 + -1 Combine like terms: 0 + -1 = -1 -3x3 = -1 Divide each side by '-3'. x3 = 0.3333333333 Simplifying x3 = 0.3333333333 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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