0=x^6-6x^3-16

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Solution for 0=x^6-6x^3-16 equation: 


Simplifying
0 = x6 + -6x3 + -16

Reorder the terms:
0 = -16 + -6x3 + x6

Solving
0 = -16 + -6x3 + x6

Solving for variable 'x'.

Combine like terms: 0 + 16 = 16
16 + 6x3 + -1x6 = -16 + -6x3 + x6 + 16 + 6x3 + -1x6

Reorder the terms:
16 + 6x3 + -1x6 = -16 + 16 + -6x3 + 6x3 + x6 + -1x6

Combine like terms: -16 + 16 = 0
16 + 6x3 + -1x6 = 0 + -6x3 + 6x3 + x6 + -1x6
16 + 6x3 + -1x6 = -6x3 + 6x3 + x6 + -1x6

Combine like terms: -6x3 + 6x3 = 0
16 + 6x3 + -1x6 = 0 + x6 + -1x6
16 + 6x3 + -1x6 = x6 + -1x6

Combine like terms: x6 + -1x6 = 0
16 + 6x3 + -1x6 = 0

Factor a trinomial.
(8 + -1x3)(2 + x3) = 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 '(2 + x3)' equal to zero and attempt to solve:

Simplifying
2 + x3 = 0

Solving
2 + x3 = 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 + x3 = 0 + -2

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

Combine like terms: 0 + -2 = -2
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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