x^6+5x^3=24

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Solution for x^6+5x^3=24 equation: 


Simplifying
x6 + 5x3 = 24

Reorder the terms:
5x3 + x6 = 24

Solving
5x3 + x6 = 24

Solving for variable 'x'.

Reorder the terms:
-24 + 5x3 + x6 = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + 5x3 + x6 = 0

Factor a trinomial.
(-8 + -1x3)(3 + -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 '(3 + -1x3)' equal to zero and attempt to solve:

Simplifying
3 + -1x3 = 0

Solving
3 + -1x3 = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x3 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x3 = 0 + -3
-1x3 = 0 + -3

Combine like terms: 0 + -3 = -3
-1x3 = -3

Divide each side by '-1'.
x3 = 3

Simplifying
x3 = 3

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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