x^3-5x^2-2x-24=(x-4)(x^2-x-6)

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Solution for x^3-5x^2-2x-24=(x-4)(x^2-x-6) equation: 


Simplifying
x3 + -5x2 + -2x + -24 = (x + -4)(x2 + -1x + -6)

Reorder the terms:
-24 + -2x + -5x2 + x3 = (x + -4)(x2 + -1x + -6)

Reorder the terms:
-24 + -2x + -5x2 + x3 = (-4 + x)(x2 + -1x + -6)

Reorder the terms:
-24 + -2x + -5x2 + x3 = (-4 + x)(-6 + -1x + x2)

Multiply (-4 + x) * (-6 + -1x + x2)
-24 + -2x + -5x2 + x3 = (-4(-6 + -1x + x2) + x(-6 + -1x + x2))
-24 + -2x + -5x2 + x3 = ((-6 * -4 + -1x * -4 + x2 * -4) + x(-6 + -1x + x2))
-24 + -2x + -5x2 + x3 = ((24 + 4x + -4x2) + x(-6 + -1x + x2))
-24 + -2x + -5x2 + x3 = (24 + 4x + -4x2 + (-6 * x + -1x * x + x2 * x))
-24 + -2x + -5x2 + x3 = (24 + 4x + -4x2 + (-6x + -1x2 + x3))

Reorder the terms:
-24 + -2x + -5x2 + x3 = (24 + 4x + -6x + -4x2 + -1x2 + x3)

Combine like terms: 4x + -6x = -2x
-24 + -2x + -5x2 + x3 = (24 + -2x + -4x2 + -1x2 + x3)

Combine like terms: -4x2 + -1x2 = -5x2
-24 + -2x + -5x2 + x3 = (24 + -2x + -5x2 + x3)

Add '2x' to each side of the equation.
-24 + -2x + -5x2 + 2x + x3 = 24 + -2x + -5x2 + 2x + x3

Reorder the terms:
-24 + -2x + 2x + -5x2 + x3 = 24 + -2x + -5x2 + 2x + x3

Combine like terms: -2x + 2x = 0
-24 + 0 + -5x2 + x3 = 24 + -2x + -5x2 + 2x + x3
-24 + -5x2 + x3 = 24 + -2x + -5x2 + 2x + x3

Reorder the terms:
-24 + -5x2 + x3 = 24 + -2x + 2x + -5x2 + x3

Combine like terms: -2x + 2x = 0
-24 + -5x2 + x3 = 24 + 0 + -5x2 + x3
-24 + -5x2 + x3 = 24 + -5x2 + x3

Add '5x2' to each side of the equation.
-24 + -5x2 + 5x2 + x3 = 24 + -5x2 + 5x2 + x3

Combine like terms: -5x2 + 5x2 = 0
-24 + 0 + x3 = 24 + -5x2 + 5x2 + x3
-24 + x3 = 24 + -5x2 + 5x2 + x3

Combine like terms: -5x2 + 5x2 = 0
-24 + x3 = 24 + 0 + x3
-24 + x3 = 24 + x3

Add '-1x3' to each side of the equation.
-24 + x3 + -1x3 = 24 + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-24 + 0 = 24 + x3 + -1x3
-24 = 24 + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-24 = 24 + 0
-24 = 24

Solving
-24 = 24

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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