x^6+8x^3+7=0

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Solution for x^6+8x^3+7=0 equation:


Simplifying
x6 + 8x3 + 7 = 0

Reorder the terms:
7 + 8x3 + x6 = 0

Solving
7 + 8x3 + x6 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(7 + x3)' equal to zero and attempt to solve: Simplifying 7 + x3 = 0 Solving 7 + x3 = 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 + x3 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x3 = 0 + -7 x3 = 0 + -7 Combine like terms: 0 + -7 = -7 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.

Subproblem 2

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

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