x^6-19x^3=216

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Solution for x^6-19x^3=216 equation: 


Simplifying
x6 + -19x3 = 216

Reorder the terms:
-19x3 + x6 = 216

Solving
-19x3 + x6 = 216

Solving for variable 'x'.

Reorder the terms:
-216 + -19x3 + x6 = 216 + -216

Combine like terms: 216 + -216 = 0
-216 + -19x3 + 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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