x^14-8x^7+7=0

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Solution for x^14-8x^7+7=0 equation:


Simplifying
x14 + -8x7 + 7 = 0

Reorder the terms:
7 + -8x7 + x14 = 0

Solving
7 + -8x7 + x14 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -1x7)(7 + -1x7) = 0

Subproblem 1

Set the factor '(1 + -1x7)' equal to zero and attempt to solve: Simplifying 1 + -1x7 = 0 Solving 1 + -1x7 = 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 + -1x7 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x7 = 0 + -1 -1x7 = 0 + -1 Combine like terms: 0 + -1 = -1 -1x7 = -1 Divide each side by '-1'. x7 = 1 Simplifying x7 = 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 + -1x7)' equal to zero and attempt to solve: Simplifying 7 + -1x7 = 0 Solving 7 + -1x7 = 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 + -1x7 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x7 = 0 + -7 -1x7 = 0 + -7 Combine like terms: 0 + -7 = -7 -1x7 = -7 Divide each side by '-1'. x7 = 7 Simplifying x7 = 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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