8x^6-217x^3+27=0

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Solution for 8x^6-217x^3+27=0 equation: 


Simplifying
8x6 + -217x3 + 27 = 0

Reorder the terms:
27 + -217x3 + 8x6 = 0

Solving
27 + -217x3 + 8x6 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -8x3)(27 + -1x3) = 0


Subproblem 1
Set the factor '(1 + -8x3)' equal to zero and attempt to solve:

Simplifying
1 + -8x3 = 0

Solving
1 + -8x3 = 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 + -8x3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8x3 = 0 + -1
-8x3 = 0 + -1

Combine like terms: 0 + -1 = -1
-8x3 = -1

Divide each side by '-8'.
x3 = 0.125

Simplifying
x3 = 0.125

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 '(27 + -1x3)' equal to zero and attempt to solve:

Simplifying
27 + -1x3 = 0

Solving
27 + -1x3 = 0

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

Add '-27' to each side of the equation.
27 + -27 + -1x3 = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -1x3 = 0 + -27
-1x3 = 0 + -27

Combine like terms: 0 + -27 = -27
-1x3 = -27

Divide each side by '-1'.
x3 = 27

Simplifying
x3 = 27

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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