x^3-3x^2-16x-36=(x-2)(x^2-x-18)

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Solution for x^3-3x^2-16x-36=(x-2)(x^2-x-18) equation: 


Simplifying
x3 + -3x2 + -16x + -36 = (x + -2)(x2 + -1x + -18)

Reorder the terms:
-36 + -16x + -3x2 + x3 = (x + -2)(x2 + -1x + -18)

Reorder the terms:
-36 + -16x + -3x2 + x3 = (-2 + x)(x2 + -1x + -18)

Reorder the terms:
-36 + -16x + -3x2 + x3 = (-2 + x)(-18 + -1x + x2)

Multiply (-2 + x) * (-18 + -1x + x2)
-36 + -16x + -3x2 + x3 = (-2(-18 + -1x + x2) + x(-18 + -1x + x2))
-36 + -16x + -3x2 + x3 = ((-18 * -2 + -1x * -2 + x2 * -2) + x(-18 + -1x + x2))
-36 + -16x + -3x2 + x3 = ((36 + 2x + -2x2) + x(-18 + -1x + x2))
-36 + -16x + -3x2 + x3 = (36 + 2x + -2x2 + (-18 * x + -1x * x + x2 * x))
-36 + -16x + -3x2 + x3 = (36 + 2x + -2x2 + (-18x + -1x2 + x3))

Reorder the terms:
-36 + -16x + -3x2 + x3 = (36 + 2x + -18x + -2x2 + -1x2 + x3)

Combine like terms: 2x + -18x = -16x
-36 + -16x + -3x2 + x3 = (36 + -16x + -2x2 + -1x2 + x3)

Combine like terms: -2x2 + -1x2 = -3x2
-36 + -16x + -3x2 + x3 = (36 + -16x + -3x2 + x3)

Add '16x' to each side of the equation.
-36 + -16x + -3x2 + 16x + x3 = 36 + -16x + -3x2 + 16x + x3

Reorder the terms:
-36 + -16x + 16x + -3x2 + x3 = 36 + -16x + -3x2 + 16x + x3

Combine like terms: -16x + 16x = 0
-36 + 0 + -3x2 + x3 = 36 + -16x + -3x2 + 16x + x3
-36 + -3x2 + x3 = 36 + -16x + -3x2 + 16x + x3

Reorder the terms:
-36 + -3x2 + x3 = 36 + -16x + 16x + -3x2 + x3

Combine like terms: -16x + 16x = 0
-36 + -3x2 + x3 = 36 + 0 + -3x2 + x3
-36 + -3x2 + x3 = 36 + -3x2 + x3

Add '3x2' to each side of the equation.
-36 + -3x2 + 3x2 + x3 = 36 + -3x2 + 3x2 + x3

Combine like terms: -3x2 + 3x2 = 0
-36 + 0 + x3 = 36 + -3x2 + 3x2 + x3
-36 + x3 = 36 + -3x2 + 3x2 + x3

Combine like terms: -3x2 + 3x2 = 0
-36 + x3 = 36 + 0 + x3
-36 + x3 = 36 + x3

Add '-1x3' to each side of the equation.
-36 + x3 + -1x3 = 36 + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-36 + 0 = 36 + x3 + -1x3
-36 = 36 + x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-36 = 36 + 0
-36 = 36

Solving
-36 = 36

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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