x^5+3x^4=8x^3+24x

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Solution for x^5+3x^4=8x^3+24x equation: 


Simplifying
x5 + 3x4 = 8x3 + 24x

Reorder the terms:
3x4 + x5 = 8x3 + 24x

Reorder the terms:
3x4 + x5 = 24x + 8x3

Solving
3x4 + x5 = 24x + 8x3

Solving for variable 'x'.

Reorder the terms:
-24x + -8x3 + 3x4 + x5 = 24x + 8x3 + -24x + -8x3

Reorder the terms:
-24x + -8x3 + 3x4 + x5 = 24x + -24x + 8x3 + -8x3

Combine like terms: 24x + -24x = 0
-24x + -8x3 + 3x4 + x5 = 0 + 8x3 + -8x3
-24x + -8x3 + 3x4 + x5 = 8x3 + -8x3

Combine like terms: 8x3 + -8x3 = 0
-24x + -8x3 + 3x4 + x5 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-24 + -8x2 + 3x3 + x4) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-24 + -8x2 + 3x3 + x4)' equal to zero and attempt to solve:

Simplifying
-24 + -8x2 + 3x3 + x4 = 0

Solving
-24 + -8x2 + 3x3 + x4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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