P(x)=(x-1-i)(x-1+i)

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Solution for P(x)=(x-1-i)(x-1+i) equation: 


Simplifying
P(x) = (x + -1 + -1i)(x + -1 + i)

Multiply P * x
xP = (x + -1 + -1i)(x + -1 + i)

Reorder the terms:
xP = (-1 + -1i + x)(x + -1 + i)

Reorder the terms:
xP = (-1 + -1i + x)(-1 + i + x)

Multiply (-1 + -1i + x) * (-1 + i + x)
xP = (-1(-1 + i + x) + -1i * (-1 + i + x) + x(-1 + i + x))
xP = ((-1 * -1 + i * -1 + x * -1) + -1i * (-1 + i + x) + x(-1 + i + x))
xP = ((1 + -1i + -1x) + -1i * (-1 + i + x) + x(-1 + i + x))
xP = (1 + -1i + -1x + (-1 * -1i + i * -1i + x * -1i) + x(-1 + i + x))

Reorder the terms:
xP = (1 + -1i + -1x + (1i + -1ix + -1i2) + x(-1 + i + x))
xP = (1 + -1i + -1x + (1i + -1ix + -1i2) + x(-1 + i + x))
xP = (1 + -1i + -1x + 1i + -1ix + -1i2 + (-1 * x + i * x + x * x))

Reorder the terms:
xP = (1 + -1i + -1x + 1i + -1ix + -1i2 + (ix + -1x + x2))
xP = (1 + -1i + -1x + 1i + -1ix + -1i2 + (ix + -1x + x2))

Reorder the terms:
xP = (1 + -1i + 1i + -1ix + ix + -1i2 + -1x + -1x + x2)

Combine like terms: -1i + 1i = 0
xP = (1 + 0 + -1ix + ix + -1i2 + -1x + -1x + x2)
xP = (1 + -1ix + ix + -1i2 + -1x + -1x + x2)

Combine like terms: -1ix + ix = 0
xP = (1 + 0 + -1i2 + -1x + -1x + x2)
xP = (1 + -1i2 + -1x + -1x + x2)

Combine like terms: -1x + -1x = -2x
xP = (1 + -1i2 + -2x + x2)

Solving
xP = 1 + -1i2 + -2x + x2

Solving for variable 'x'.

Reorder the terms:
-1 + i2 + 2x + xP + -1x2 = 1 + -1i2 + -2x + x2 + -1 + i2 + 2x + -1x2

Reorder the terms:
-1 + i2 + 2x + xP + -1x2 = 1 + -1 + -1i2 + i2 + -2x + 2x + x2 + -1x2

Combine like terms: 1 + -1 = 0
-1 + i2 + 2x + xP + -1x2 = 0 + -1i2 + i2 + -2x + 2x + x2 + -1x2
-1 + i2 + 2x + xP + -1x2 = -1i2 + i2 + -2x + 2x + x2 + -1x2

Combine like terms: -1i2 + i2 = 0
-1 + i2 + 2x + xP + -1x2 = 0 + -2x + 2x + x2 + -1x2
-1 + i2 + 2x + xP + -1x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
-1 + i2 + 2x + xP + -1x2 = 0 + x2 + -1x2
-1 + i2 + 2x + xP + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1 + i2 + 2x + xP + -1x2 = 0

The solution to this equation could not be determined.

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