x^6=9+8x^3

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Solution for x^6=9+8x^3 equation:


Simplifying
x6 = 9 + 8x3

Solving
x6 = 9 + 8x3

Solving for variable 'x'.

Reorder the terms:
-9 + -8x3 + x6 = 9 + 8x3 + -9 + -8x3

Reorder the terms:
-9 + -8x3 + x6 = 9 + -9 + 8x3 + -8x3

Combine like terms: 9 + -9 = 0
-9 + -8x3 + x6 = 0 + 8x3 + -8x3
-9 + -8x3 + x6 = 8x3 + -8x3

Combine like terms: 8x3 + -8x3 = 0
-9 + -8x3 + x6 = 0

Factor a trinomial.
(-1 + -1x3)(9 + -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 '(9 + -1x3)' equal to zero and attempt to solve: Simplifying 9 + -1x3 = 0 Solving 9 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x3 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x3 = 0 + -9 -1x3 = 0 + -9 Combine like terms: 0 + -9 = -9 -1x3 = -9 Divide each side by '-1'. x3 = 9 Simplifying x3 = 9 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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