x^4+5x^3-24x^3=0

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Solution for x^4+5x^3-24x^3=0 equation:


Simplifying
x4 + 5x3 + -24x3 = 0

Reorder the terms:
5x3 + -24x3 + x4 = 0

Combine like terms: 5x3 + -24x3 = -19x3
-19x3 + x4 = 0

Solving
-19x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x3'.
x3(-19 + x) = 0

Subproblem 1

Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 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 '(-19 + x)' equal to zero and attempt to solve: Simplifying -19 + x = 0 Solving -19 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + x = 0 + 19 x = 0 + 19 Combine like terms: 0 + 19 = 19 x = 19 Simplifying x = 19

Solution

x = {19}

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