x^6-5x^3-14=0

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Solution for x^6-5x^3-14=0 equation:


Simplifying
x6 + -5x3 + -14 = 0

Reorder the terms:
-14 + -5x3 + x6 = 0

Solving
-14 + -5x3 + x6 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -1x3)(7 + -1x3) = 0

Subproblem 1

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.

Subproblem 2

Set the factor '(7 + -1x3)' equal to zero and attempt to solve: Simplifying 7 + -1x3 = 0 Solving 7 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x3 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x3 = 0 + -7 -1x3 = 0 + -7 Combine like terms: 0 + -7 = -7 -1x3 = -7 Divide each side by '-1'. x3 = 7 Simplifying x3 = 7 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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