x^6-117x^3=1000

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Solution for x^6-117x^3=1000 equation: 


Simplifying
x6 + -117x3 = 1000

Reorder the terms:
-117x3 + x6 = 1000

Solving
-117x3 + x6 = 1000

Solving for variable 'x'.

Reorder the terms:
-1000 + -117x3 + x6 = 1000 + -1000

Combine like terms: 1000 + -1000 = 0
-1000 + -117x3 + x6 = 0

Factor a trinomial.
(-8 + -1x3)(125 + -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 '(125 + -1x3)' equal to zero and attempt to solve:

Simplifying
125 + -1x3 = 0

Solving
125 + -1x3 = 0

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

Add '-125' to each side of the equation.
125 + -125 + -1x3 = 0 + -125

Combine like terms: 125 + -125 = 0
0 + -1x3 = 0 + -125
-1x3 = 0 + -125

Combine like terms: 0 + -125 = -125
-1x3 = -125

Divide each side by '-1'.
x3 = 125

Simplifying
x3 = 125

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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