19x^3=216-x^6

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


Simplifying
19x3 = 216 + -1x6

Solving
19x3 = 216 + -1x6

Solving for variable 'x'.

Reorder the terms:
-216 + 19x3 + x6 = 216 + -1x6 + -216 + x6

Reorder the terms:
-216 + 19x3 + x6 = 216 + -216 + -1x6 + x6

Combine like terms: 216 + -216 = 0
-216 + 19x3 + x6 = 0 + -1x6 + x6
-216 + 19x3 + x6 = -1x6 + x6

Combine like terms: -1x6 + x6 = 0
-216 + 19x3 + x6 = 0

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


Subproblem 1
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.

Subproblem 2
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.

The solution to this equation could not be determined.

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