=(x-2)(x^2+4x+4)(x^2+2x+5)

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Solution for =(x-2)(x^2+4x+4)(x^2+2x+5) equation: 


Simplifying
0 = (x + -2)(x2 + 4x + 4)(x2 + 2x + 5)

Reorder the terms:
0 = (-2 + x)(x2 + 4x + 4)(x2 + 2x + 5)

Reorder the terms:
0 = (-2 + x)(4 + 4x + x2)(x2 + 2x + 5)

Reorder the terms:
0 = (-2 + x)(4 + 4x + x2)(5 + 2x + x2)

Multiply (-2 + x) * (4 + 4x + x2)
0 = (-2(4 + 4x + x2) + x(4 + 4x + x2))(5 + 2x + x2)
0 = ((4 * -2 + 4x * -2 + x2 * -2) + x(4 + 4x + x2))(5 + 2x + x2)
0 = ((-8 + -8x + -2x2) + x(4 + 4x + x2))(5 + 2x + x2)
0 = (-8 + -8x + -2x2 + (4 * x + 4x * x + x2 * x))(5 + 2x + x2)
0 = (-8 + -8x + -2x2 + (4x + 4x2 + x3))(5 + 2x + x2)

Reorder the terms:
0 = (-8 + -8x + 4x + -2x2 + 4x2 + x3)(5 + 2x + x2)

Combine like terms: -8x + 4x = -4x
0 = (-8 + -4x + -2x2 + 4x2 + x3)(5 + 2x + x2)

Combine like terms: -2x2 + 4x2 = 2x2
0 = (-8 + -4x + 2x2 + x3)(5 + 2x + x2)

Multiply (-8 + -4x + 2x2 + x3) * (5 + 2x + x2)
0 = (-8(5 + 2x + x2) + -4x * (5 + 2x + x2) + 2x2 * (5 + 2x + x2) + x3(5 + 2x + x2))
0 = ((5 * -8 + 2x * -8 + x2 * -8) + -4x * (5 + 2x + x2) + 2x2 * (5 + 2x + x2) + x3(5 + 2x + x2))
0 = ((-40 + -16x + -8x2) + -4x * (5 + 2x + x2) + 2x2 * (5 + 2x + x2) + x3(5 + 2x + x2))
0 = (-40 + -16x + -8x2 + (5 * -4x + 2x * -4x + x2 * -4x) + 2x2 * (5 + 2x + x2) + x3(5 + 2x + x2))
0 = (-40 + -16x + -8x2 + (-20x + -8x2 + -4x3) + 2x2 * (5 + 2x + x2) + x3(5 + 2x + x2))
0 = (-40 + -16x + -8x2 + -20x + -8x2 + -4x3 + (5 * 2x2 + 2x * 2x2 + x2 * 2x2) + x3(5 + 2x + x2))
0 = (-40 + -16x + -8x2 + -20x + -8x2 + -4x3 + (10x2 + 4x3 + 2x4) + x3(5 + 2x + x2))
0 = (-40 + -16x + -8x2 + -20x + -8x2 + -4x3 + 10x2 + 4x3 + 2x4 + (5 * x3 + 2x * x3 + x2 * x3))
0 = (-40 + -16x + -8x2 + -20x + -8x2 + -4x3 + 10x2 + 4x3 + 2x4 + (5x3 + 2x4 + x5))

Reorder the terms:
0 = (-40 + -16x + -20x + -8x2 + -8x2 + 10x2 + -4x3 + 4x3 + 5x3 + 2x4 + 2x4 + x5)

Combine like terms: -16x + -20x = -36x
0 = (-40 + -36x + -8x2 + -8x2 + 10x2 + -4x3 + 4x3 + 5x3 + 2x4 + 2x4 + x5)

Combine like terms: -8x2 + -8x2 = -16x2
0 = (-40 + -36x + -16x2 + 10x2 + -4x3 + 4x3 + 5x3 + 2x4 + 2x4 + x5)

Combine like terms: -16x2 + 10x2 = -6x2
0 = (-40 + -36x + -6x2 + -4x3 + 4x3 + 5x3 + 2x4 + 2x4 + x5)

Combine like terms: -4x3 + 4x3 = 0
0 = (-40 + -36x + -6x2 + 0 + 5x3 + 2x4 + 2x4 + x5)
0 = (-40 + -36x + -6x2 + 5x3 + 2x4 + 2x4 + x5)

Combine like terms: 2x4 + 2x4 = 4x4
0 = (-40 + -36x + -6x2 + 5x3 + 4x4 + x5)

Solving
0 = -40 + -36x + -6x2 + 5x3 + 4x4 + x5

Solving for variable 'x'.

Combine like terms: 0 + 40 = 40
40 + 36x + 6x2 + -5x3 + -4x4 + -1x5 = -40 + -36x + -6x2 + 5x3 + 4x4 + x5 + 40 + 36x + 6x2 + -5x3 + -4x4 + -1x5

Reorder the terms:
40 + 36x + 6x2 + -5x3 + -4x4 + -1x5 = -40 + 40 + -36x + 36x + -6x2 + 6x2 + 5x3 + -5x3 + 4x4 + -4x4 + x5 + -1x5

Combine like terms: -40 + 40 = 0
40 + 36x + 6x2 + -5x3 + -4x4 + -1x5 = 0 + -36x + 36x + -6x2 + 6x2 + 5x3 + -5x3 + 4x4 + -4x4 + x5 + -1x5
40 + 36x + 6x2 + -5x3 + -4x4 + -1x5 = -36x + 36x + -6x2 + 6x2 + 5x3 + -5x3 + 4x4 + -4x4 + x5 + -1x5

Combine like terms: -36x + 36x = 0
40 + 36x + 6x2 + -5x3 + -4x4 + -1x5 = 0 + -6x2 + 6x2 + 5x3 + -5x3 + 4x4 + -4x4 + x5 + -1x5
40 + 36x + 6x2 + -5x3 + -4x4 + -1x5 = -6x2 + 6x2 + 5x3 + -5x3 + 4x4 + -4x4 + x5 + -1x5

Combine like terms: -6x2 + 6x2 = 0
40 + 36x + 6x2 + -5x3 + -4x4 + -1x5 = 0 + 5x3 + -5x3 + 4x4 + -4x4 + x5 + -1x5
40 + 36x + 6x2 + -5x3 + -4x4 + -1x5 = 5x3 + -5x3 + 4x4 + -4x4 + x5 + -1x5

Combine like terms: 5x3 + -5x3 = 0
40 + 36x + 6x2 + -5x3 + -4x4 + -1x5 = 0 + 4x4 + -4x4 + x5 + -1x5
40 + 36x + 6x2 + -5x3 + -4x4 + -1x5 = 4x4 + -4x4 + x5 + -1x5

Combine like terms: 4x4 + -4x4 = 0
40 + 36x + 6x2 + -5x3 + -4x4 + -1x5 = 0 + x5 + -1x5
40 + 36x + 6x2 + -5x3 + -4x4 + -1x5 = x5 + -1x5

Combine like terms: x5 + -1x5 = 0
40 + 36x + 6x2 + -5x3 + -4x4 + -1x5 = 0

The solution to this equation could not be determined.

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