x^3-5x-24x=0

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


Simplifying
x3 + -5x + -24x = 0

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

Combine like terms: -5x + -24x = -29x
-29x + x3 = 0

Solving
-29x + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-29 + x2) = 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 '(-29 + x2)' equal to zero and attempt to solve:

Simplifying
-29 + x2 = 0

Solving
-29 + x2 = 0

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

Add '29' to each side of the equation.
-29 + 29 + x2 = 0 + 29

Combine like terms: -29 + 29 = 0
0 + x2 = 0 + 29
x2 = 0 + 29

Combine like terms: 0 + 29 = 29
x2 = 29

Simplifying
x2 = 29

Take the square root of each side:
x = {-5.385164807, 5.385164807}
Solution
x = {0, -5.385164807, 5.385164807}

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