x^6=8-2x^3

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Solution for x^6=8-2x^3 equation: 


Simplifying
x6 = 8 + -2x3

Solving
x6 = 8 + -2x3

Solving for variable 'x'.

Reorder the terms:
-8 + 2x3 + x6 = 8 + -2x3 + -8 + 2x3

Reorder the terms:
-8 + 2x3 + x6 = 8 + -8 + -2x3 + 2x3

Combine like terms: 8 + -8 = 0
-8 + 2x3 + x6 = 0 + -2x3 + 2x3
-8 + 2x3 + x6 = -2x3 + 2x3

Combine like terms: -2x3 + 2x3 = 0
-8 + 2x3 + x6 = 0

Factor a trinomial.
(-4 + -1x3)(2 + -1x3) = 0


Subproblem 1
Set the factor '(-4 + -1x3)' equal to zero and attempt to solve:

Simplifying
-4 + -1x3 = 0

Solving
-4 + -1x3 = 0

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + -1x3 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x3 = 0 + 4
-1x3 = 0 + 4

Combine like terms: 0 + 4 = 4
-1x3 = 4

Divide each side by '-1'.
x3 = -4

Simplifying
x3 = -4

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 '(2 + -1x3)' equal to zero and attempt to solve:

Simplifying
2 + -1x3 = 0

Solving
2 + -1x3 = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1x3 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x3 = 0 + -2
-1x3 = 0 + -2

Combine like terms: 0 + -2 = -2
-1x3 = -2

Divide each side by '-1'.
x3 = 2

Simplifying
x3 = 2

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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