x^6-4x^3+3=0

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Solution for x^6-4x^3+3=0 equation:


Simplifying
x6 + -4x3 + 3 = 0

Reorder the terms:
3 + -4x3 + x6 = 0

Solving
3 + -4x3 + x6 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(1 + -1x3)' equal to zero and attempt to solve: Simplifying 1 + -1x3 = 0 Solving 1 + -1x3 = 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 + -1x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x3 = 0 + -1 -1x3 = 0 + -1 Combine like terms: 0 + -1 = -1 -1x3 = -1 Divide each side by '-1'. x3 = 1 Simplifying x3 = 1 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 '(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. The solution to this equation could not be determined.

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