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

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


Simplifying
0 = (x3 + -2x2 + x + -2)(x2 + -2x + 2)

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

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

Multiply (-2 + x + -2x2 + x3) * (2 + -2x + x2)
0 = (-2(2 + -2x + x2) + x(2 + -2x + x2) + -2x2 * (2 + -2x + x2) + x3(2 + -2x + x2))
0 = ((2 * -2 + -2x * -2 + x2 * -2) + x(2 + -2x + x2) + -2x2 * (2 + -2x + x2) + x3(2 + -2x + x2))
0 = ((-4 + 4x + -2x2) + x(2 + -2x + x2) + -2x2 * (2 + -2x + x2) + x3(2 + -2x + x2))
0 = (-4 + 4x + -2x2 + (2 * x + -2x * x + x2 * x) + -2x2 * (2 + -2x + x2) + x3(2 + -2x + x2))
0 = (-4 + 4x + -2x2 + (2x + -2x2 + x3) + -2x2 * (2 + -2x + x2) + x3(2 + -2x + x2))
0 = (-4 + 4x + -2x2 + 2x + -2x2 + x3 + (2 * -2x2 + -2x * -2x2 + x2 * -2x2) + x3(2 + -2x + x2))
0 = (-4 + 4x + -2x2 + 2x + -2x2 + x3 + (-4x2 + 4x3 + -2x4) + x3(2 + -2x + x2))
0 = (-4 + 4x + -2x2 + 2x + -2x2 + x3 + -4x2 + 4x3 + -2x4 + (2 * x3 + -2x * x3 + x2 * x3))
0 = (-4 + 4x + -2x2 + 2x + -2x2 + x3 + -4x2 + 4x3 + -2x4 + (2x3 + -2x4 + x5))

Reorder the terms:
0 = (-4 + 4x + 2x + -2x2 + -2x2 + -4x2 + x3 + 4x3 + 2x3 + -2x4 + -2x4 + x5)

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

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

Combine like terms: -4x2 + -4x2 = -8x2
0 = (-4 + 6x + -8x2 + x3 + 4x3 + 2x3 + -2x4 + -2x4 + x5)

Combine like terms: x3 + 4x3 = 5x3
0 = (-4 + 6x + -8x2 + 5x3 + 2x3 + -2x4 + -2x4 + x5)

Combine like terms: 5x3 + 2x3 = 7x3
0 = (-4 + 6x + -8x2 + 7x3 + -2x4 + -2x4 + x5)

Combine like terms: -2x4 + -2x4 = -4x4
0 = (-4 + 6x + -8x2 + 7x3 + -4x4 + x5)

Solving
0 = -4 + 6x + -8x2 + 7x3 + -4x4 + x5

Solving for variable 'x'.

Combine like terms: 0 + 4 = 4
4 + -6x + 8x2 + -7x3 + 4x4 + -1x5 = -4 + 6x + -8x2 + 7x3 + -4x4 + x5 + 4 + -6x + 8x2 + -7x3 + 4x4 + -1x5

Reorder the terms:
4 + -6x + 8x2 + -7x3 + 4x4 + -1x5 = -4 + 4 + 6x + -6x + -8x2 + 8x2 + 7x3 + -7x3 + -4x4 + 4x4 + x5 + -1x5

Combine like terms: -4 + 4 = 0
4 + -6x + 8x2 + -7x3 + 4x4 + -1x5 = 0 + 6x + -6x + -8x2 + 8x2 + 7x3 + -7x3 + -4x4 + 4x4 + x5 + -1x5
4 + -6x + 8x2 + -7x3 + 4x4 + -1x5 = 6x + -6x + -8x2 + 8x2 + 7x3 + -7x3 + -4x4 + 4x4 + x5 + -1x5

Combine like terms: 6x + -6x = 0
4 + -6x + 8x2 + -7x3 + 4x4 + -1x5 = 0 + -8x2 + 8x2 + 7x3 + -7x3 + -4x4 + 4x4 + x5 + -1x5
4 + -6x + 8x2 + -7x3 + 4x4 + -1x5 = -8x2 + 8x2 + 7x3 + -7x3 + -4x4 + 4x4 + x5 + -1x5

Combine like terms: -8x2 + 8x2 = 0
4 + -6x + 8x2 + -7x3 + 4x4 + -1x5 = 0 + 7x3 + -7x3 + -4x4 + 4x4 + x5 + -1x5
4 + -6x + 8x2 + -7x3 + 4x4 + -1x5 = 7x3 + -7x3 + -4x4 + 4x4 + x5 + -1x5

Combine like terms: 7x3 + -7x3 = 0
4 + -6x + 8x2 + -7x3 + 4x4 + -1x5 = 0 + -4x4 + 4x4 + x5 + -1x5
4 + -6x + 8x2 + -7x3 + 4x4 + -1x5 = -4x4 + 4x4 + x5 + -1x5

Combine like terms: -4x4 + 4x4 = 0
4 + -6x + 8x2 + -7x3 + 4x4 + -1x5 = 0 + x5 + -1x5
4 + -6x + 8x2 + -7x3 + 4x4 + -1x5 = x5 + -1x5

Combine like terms: x5 + -1x5 = 0
4 + -6x + 8x2 + -7x3 + 4x4 + -1x5 = 0

The solution to this equation could not be determined.

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