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

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


Simplifying
0 = (x + -1 + -1I)(x + -1 + i)

Reorder the terms:
0 = (-1 + -1I + x)(x + -1 + i)

Reorder the terms:
0 = (-1 + -1I + x)(-1 + i + x)

Multiply (-1 + -1I + x) * (-1 + i + x)
0 = (-1(-1 + i + x) + -1I * (-1 + i + x) + x(-1 + i + x))
0 = ((-1 * -1 + i * -1 + x * -1) + -1I * (-1 + i + x) + x(-1 + i + x))
0 = ((1 + -1i + -1x) + -1I * (-1 + i + x) + x(-1 + i + x))
0 = (1 + -1i + -1x + (-1 * -1I + i * -1I + x * -1I) + x(-1 + i + x))
0 = (1 + -1i + -1x + (1I + -1iI + -1xI) + x(-1 + i + x))
0 = (1 + -1i + -1x + 1I + -1iI + -1xI + (-1 * x + i * x + x * x))

Reorder the terms:
0 = (1 + -1i + -1x + 1I + -1iI + -1xI + (ix + -1x + x2))
0 = (1 + -1i + -1x + 1I + -1iI + -1xI + (ix + -1x + x2))

Reorder the terms:
0 = (1 + 1I + -1i + -1iI + ix + -1x + -1x + -1xI + x2)

Combine like terms: -1x + -1x = -2x
0 = (1 + 1I + -1i + -1iI + ix + -2x + -1xI + x2)

Solving
0 = 1 + 1I + -1i + -1iI + ix + -2x + -1xI + x2

Solving for variable 'I'.

Move all terms containing I to the left, all other terms to the right.

Add '-1I' to each side of the equation.
0 + -1I = 1 + 1I + -1i + -1iI + ix + -2x + -1xI + -1I + x2
Remove the zero:
-1I = 1 + 1I + -1i + -1iI + ix + -2x + -1xI + -1I + x2

Reorder the terms:
-1I = 1 + 1I + -1I + -1i + -1iI + ix + -2x + -1xI + x2

Combine like terms: 1I + -1I = 0
-1I = 1 + 0 + -1i + -1iI + ix + -2x + -1xI + x2
-1I = 1 + -1i + -1iI + ix + -2x + -1xI + x2

Add 'iI' to each side of the equation.
-1I + iI = 1 + -1i + -1iI + ix + -2x + -1xI + iI + x2

Reorder the terms:
-1I + iI = 1 + -1i + -1iI + iI + ix + -2x + -1xI + x2

Combine like terms: -1iI + iI = 0
-1I + iI = 1 + -1i + 0 + ix + -2x + -1xI + x2
-1I + iI = 1 + -1i + ix + -2x + -1xI + x2

Add 'xI' to each side of the equation.
-1I + iI + xI = 1 + -1i + ix + -2x + -1xI + xI + x2

Combine like terms: -1xI + xI = 0
-1I + iI + xI = 1 + -1i + ix + -2x + 0 + x2
-1I + iI + xI = 1 + -1i + ix + -2x + x2

Reorder the terms:
-1 + -1I + i + iI + -1ix + 2x + xI + -1x2 = 1 + -1i + ix + -2x + x2 + -1 + i + -1ix + 2x + -1x2

Reorder the terms:
-1 + -1I + i + iI + -1ix + 2x + xI + -1x2 = 1 + -1 + -1i + i + ix + -1ix + -2x + 2x + x2 + -1x2

Combine like terms: 1 + -1 = 0
-1 + -1I + i + iI + -1ix + 2x + xI + -1x2 = 0 + -1i + i + ix + -1ix + -2x + 2x + x2 + -1x2
-1 + -1I + i + iI + -1ix + 2x + xI + -1x2 = -1i + i + ix + -1ix + -2x + 2x + x2 + -1x2

Combine like terms: -1i + i = 0
-1 + -1I + i + iI + -1ix + 2x + xI + -1x2 = 0 + ix + -1ix + -2x + 2x + x2 + -1x2
-1 + -1I + i + iI + -1ix + 2x + xI + -1x2 = ix + -1ix + -2x + 2x + x2 + -1x2

Combine like terms: ix + -1ix = 0
-1 + -1I + i + iI + -1ix + 2x + xI + -1x2 = 0 + -2x + 2x + x2 + -1x2
-1 + -1I + i + iI + -1ix + 2x + xI + -1x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
-1 + -1I + i + iI + -1ix + 2x + xI + -1x2 = 0 + x2 + -1x2
-1 + -1I + i + iI + -1ix + 2x + xI + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1 + -1I + i + iI + -1ix + 2x + xI + -1x2 = 0

The solution to this equation could not be determined.

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