(x-1-i)*(x-1+i)=o

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


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

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

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

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

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

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

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

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

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

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

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

Solving for variable 'i'.

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

Add '-1' to each side of the equation.
1 + -1i2 + -2x + -1 + x2 = -1 + o

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

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

Add '2x' to each side of the equation.
-1i2 + -2x + 2x + x2 = -1 + o + 2x

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

Add '-1x2' to each side of the equation.
-1i2 + x2 + -1x2 = -1 + o + 2x + -1x2

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

Divide each side by '-1'.
i2 = 1 + -1o + -2x + x2

Simplifying
i2 = 1 + -1o + -2x + x2

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

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

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

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

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

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

The solution to this equation could not be determined.

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