x^6-6x^3-7=0

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Solution for x^6-6x^3-7=0 equation:


Simplifying
x6 + -6x3 + -7 = 0

Reorder the terms:
-7 + -6x3 + x6 = 0

Solving
-7 + -6x3 + x6 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -1x3)(7 + -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 '(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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