x=(x+2)(x^3+x^2-22x-40)

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Solution for x=(x+2)(x^3+x^2-22x-40) equation: 


Simplifying
x = (x + 2)(x3 + x2 + -22x + -40)

Reorder the terms:
x = (2 + x)(x3 + x2 + -22x + -40)

Reorder the terms:
x = (2 + x)(-40 + -22x + x2 + x3)

Multiply (2 + x) * (-40 + -22x + x2 + x3)
x = (2(-40 + -22x + x2 + x3) + x(-40 + -22x + x2 + x3))
x = ((-40 * 2 + -22x * 2 + x2 * 2 + x3 * 2) + x(-40 + -22x + x2 + x3))
x = ((-80 + -44x + 2x2 + 2x3) + x(-40 + -22x + x2 + x3))
x = (-80 + -44x + 2x2 + 2x3 + (-40 * x + -22x * x + x2 * x + x3 * x))
x = (-80 + -44x + 2x2 + 2x3 + (-40x + -22x2 + x3 + x4))

Reorder the terms:
x = (-80 + -44x + -40x + 2x2 + -22x2 + 2x3 + x3 + x4)

Combine like terms: -44x + -40x = -84x
x = (-80 + -84x + 2x2 + -22x2 + 2x3 + x3 + x4)

Combine like terms: 2x2 + -22x2 = -20x2
x = (-80 + -84x + -20x2 + 2x3 + x3 + x4)

Combine like terms: 2x3 + x3 = 3x3
x = (-80 + -84x + -20x2 + 3x3 + x4)

Solving
x = -80 + -84x + -20x2 + 3x3 + x4

Solving for variable 'x'.

Reorder the terms:
80 + x + 84x + 20x2 + -3x3 + -1x4 = -80 + -84x + -20x2 + 3x3 + x4 + 80 + 84x + 20x2 + -3x3 + -1x4

Combine like terms: x + 84x = 85x
80 + 85x + 20x2 + -3x3 + -1x4 = -80 + -84x + -20x2 + 3x3 + x4 + 80 + 84x + 20x2 + -3x3 + -1x4

Reorder the terms:
80 + 85x + 20x2 + -3x3 + -1x4 = -80 + 80 + -84x + 84x + -20x2 + 20x2 + 3x3 + -3x3 + x4 + -1x4

Combine like terms: -80 + 80 = 0
80 + 85x + 20x2 + -3x3 + -1x4 = 0 + -84x + 84x + -20x2 + 20x2 + 3x3 + -3x3 + x4 + -1x4
80 + 85x + 20x2 + -3x3 + -1x4 = -84x + 84x + -20x2 + 20x2 + 3x3 + -3x3 + x4 + -1x4

Combine like terms: -84x + 84x = 0
80 + 85x + 20x2 + -3x3 + -1x4 = 0 + -20x2 + 20x2 + 3x3 + -3x3 + x4 + -1x4
80 + 85x + 20x2 + -3x3 + -1x4 = -20x2 + 20x2 + 3x3 + -3x3 + x4 + -1x4

Combine like terms: -20x2 + 20x2 = 0
80 + 85x + 20x2 + -3x3 + -1x4 = 0 + 3x3 + -3x3 + x4 + -1x4
80 + 85x + 20x2 + -3x3 + -1x4 = 3x3 + -3x3 + x4 + -1x4

Combine like terms: 3x3 + -3x3 = 0
80 + 85x + 20x2 + -3x3 + -1x4 = 0 + x4 + -1x4
80 + 85x + 20x2 + -3x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
80 + 85x + 20x2 + -3x3 + -1x4 = 0

The solution to this equation could not be determined.

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