X(x^3+3x^2-10x-24)=0

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Solution for X(x^3+3x^2-10x-24)=0 equation: 


Simplifying
X(x3 + 3x2 + -10x + -24) = 0

Reorder the terms:
X(-24 + -10x + 3x2 + x3) = 0
(-24 * X + -10x * X + 3x2 * X + x3 * X) = 0
(-24X + -10xX + 3x2X + x3X) = 0

Solving
-24X + -10xX + 3x2X + x3X = 0

Solving for variable 'X'.

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

Factor out the Greatest Common Factor (GCF), 'X'.
X(-24 + -10x + 3x2 + x3) = 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 + -10x + 3x2 + x3)' equal to zero and attempt to solve:

Simplifying
-24 + -10x + 3x2 + x3 = 0

Solving
-24 + -10x + 3x2 + x3 = 0

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

Add '24' to each side of the equation.
-24 + -10x + 3x2 + 24 + x3 = 0 + 24

Reorder the terms:
-24 + 24 + -10x + 3x2 + x3 = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -10x + 3x2 + x3 = 0 + 24
-10x + 3x2 + x3 = 0 + 24

Combine like terms: 0 + 24 = 24
-10x + 3x2 + x3 = 24

Add '10x' to each side of the equation.
-10x + 3x2 + 10x + x3 = 24 + 10x

Reorder the terms:
-10x + 10x + 3x2 + x3 = 24 + 10x

Combine like terms: -10x + 10x = 0
0 + 3x2 + x3 = 24 + 10x
3x2 + x3 = 24 + 10x

Add '-3x2' to each side of the equation.
3x2 + -3x2 + x3 = 24 + 10x + -3x2

Combine like terms: 3x2 + -3x2 = 0
0 + x3 = 24 + 10x + -3x2
x3 = 24 + 10x + -3x2

Add '-1x3' to each side of the equation.
x3 + -1x3 = 24 + 10x + -3x2 + -1x3

Combine like terms: x3 + -1x3 = 0
0 = 24 + 10x + -3x2 + -1x3

Simplifying
0 = 24 + 10x + -3x2 + -1x3

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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