x^6+7x^3=8

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


Simplifying
x6 + 7x3 = 8

Reorder the terms:
7x3 + x6 = 8

Solving
7x3 + x6 = 8

Solving for variable 'x'.

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

Combine like terms: 8 + -8 = 0
-8 + 7x3 + x6 = 0

Factor a trinomial.
(-8 + -1x3)(1 + -1x3) = 0

Subproblem 1

Set the factor '(-8 + -1x3)' equal to zero and attempt to solve: Simplifying -8 + -1x3 = 0 Solving -8 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x3 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x3 = 0 + 8 -1x3 = 0 + 8 Combine like terms: 0 + 8 = 8 -1x3 = 8 Divide each side by '-1'. x3 = -8 Simplifying x3 = -8 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 + -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. The solution to this equation could not be determined.

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