x^6=9x^3-8

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


Simplifying
x6 = 9x3 + -8

Reorder the terms:
x6 = -8 + 9x3

Solving
x6 = -8 + 9x3

Solving for variable 'x'.

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

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

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

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

Factor a trinomial.
(1 + -1x3)(8 + -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 '(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.

The solution to this equation could not be determined.

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