x^6=35x^3-216

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Solution for x^6=35x^3-216 equation: 


Simplifying
x6 = 35x3 + -216

Reorder the terms:
x6 = -216 + 35x3

Solving
x6 = -216 + 35x3

Solving for variable 'x'.

Reorder the terms:
216 + -35x3 + x6 = -216 + 35x3 + 216 + -35x3

Reorder the terms:
216 + -35x3 + x6 = -216 + 216 + 35x3 + -35x3

Combine like terms: -216 + 216 = 0
216 + -35x3 + x6 = 0 + 35x3 + -35x3
216 + -35x3 + x6 = 35x3 + -35x3

Combine like terms: 35x3 + -35x3 = 0
216 + -35x3 + x6 = 0

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