(x-(1-i))(x-(1+i))(x-2)=0

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Solution for (x-(1-i))(x-(1+i))(x-2)=0 equation: 


Simplifying
(x + -1(1 + -1i))(x + -1(1 + i))(x + -2) = 0
(x + (1 * -1 + -1i * -1))(x + -1(1 + i))(x + -2) = 0
(x + (-1 + 1i))(x + -1(1 + i))(x + -2) = 0

Reorder the terms:
(-1 + 1i + x)(x + -1(1 + i))(x + -2) = 0
(-1 + 1i + x)(x + (1 * -1 + i * -1))(x + -2) = 0
(-1 + 1i + x)(x + (-1 + -1i))(x + -2) = 0

Reorder the terms:
(-1 + 1i + x)(-1 + -1i + x)(x + -2) = 0

Reorder the terms:
(-1 + 1i + x)(-1 + -1i + x)(-2 + x) = 0

Multiply (-1 + 1i + x) * (-1 + -1i + x)
(-1(-1 + -1i + x) + 1i * (-1 + -1i + x) + x(-1 + -1i + x))(-2 + x) = 0
((-1 * -1 + -1i * -1 + x * -1) + 1i * (-1 + -1i + x) + x(-1 + -1i + x))(-2 + x) = 0
((1 + 1i + -1x) + 1i * (-1 + -1i + x) + x(-1 + -1i + x))(-2 + x) = 0
(1 + 1i + -1x + (-1 * 1i + -1i * 1i + x * 1i) + x(-1 + -1i + x))(-2 + x) = 0

Reorder the terms:
(1 + 1i + -1x + (-1i + 1ix + -1i2) + x(-1 + -1i + x))(-2 + x) = 0
(1 + 1i + -1x + (-1i + 1ix + -1i2) + x(-1 + -1i + x))(-2 + x) = 0
(1 + 1i + -1x + -1i + 1ix + -1i2 + (-1 * x + -1i * x + x * x))(-2 + x) = 0

Reorder the terms:
(1 + 1i + -1x + -1i + 1ix + -1i2 + (-1ix + -1x + x2))(-2 + x) = 0
(1 + 1i + -1x + -1i + 1ix + -1i2 + (-1ix + -1x + x2))(-2 + x) = 0

Reorder the terms:
(1 + 1i + -1i + 1ix + -1ix + -1i2 + -1x + -1x + x2)(-2 + x) = 0

Combine like terms: 1i + -1i = 0
(1 + 0 + 1ix + -1ix + -1i2 + -1x + -1x + x2)(-2 + x) = 0
(1 + 1ix + -1ix + -1i2 + -1x + -1x + x2)(-2 + x) = 0

Combine like terms: 1ix + -1ix = 0
(1 + 0 + -1i2 + -1x + -1x + x2)(-2 + x) = 0
(1 + -1i2 + -1x + -1x + x2)(-2 + x) = 0

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

Multiply (1 + -1i2 + -2x + x2) * (-2 + x)
(1(-2 + x) + -1i2 * (-2 + x) + -2x * (-2 + x) + x2(-2 + x)) = 0
((-2 * 1 + x * 1) + -1i2 * (-2 + x) + -2x * (-2 + x) + x2(-2 + x)) = 0
((-2 + 1x) + -1i2 * (-2 + x) + -2x * (-2 + x) + x2(-2 + x)) = 0
(-2 + 1x + (-2 * -1i2 + x * -1i2) + -2x * (-2 + x) + x2(-2 + x)) = 0
(-2 + 1x + (2i2 + -1i2x) + -2x * (-2 + x) + x2(-2 + x)) = 0
(-2 + 1x + 2i2 + -1i2x + (-2 * -2x + x * -2x) + x2(-2 + x)) = 0
(-2 + 1x + 2i2 + -1i2x + (4x + -2x2) + x2(-2 + x)) = 0
(-2 + 1x + 2i2 + -1i2x + 4x + -2x2 + (-2 * x2 + x * x2)) = 0
(-2 + 1x + 2i2 + -1i2x + 4x + -2x2 + (-2x2 + x3)) = 0

Reorder the terms:
(-2 + 2i2 + -1i2x + 1x + 4x + -2x2 + -2x2 + x3) = 0

Combine like terms: 1x + 4x = 5x
(-2 + 2i2 + -1i2x + 5x + -2x2 + -2x2 + x3) = 0

Combine like terms: -2x2 + -2x2 = -4x2
(-2 + 2i2 + -1i2x + 5x + -4x2 + x3) = 0

Solving
-2 + 2i2 + -1i2x + 5x + -4x2 + x3 = 0

Solving for variable 'i'.

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

Add '2' to each side of the equation.
-2 + 2i2 + -1i2x + 5x + -4x2 + 2 + x3 = 0 + 2

Reorder the terms:
-2 + 2 + 2i2 + -1i2x + 5x + -4x2 + x3 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 2i2 + -1i2x + 5x + -4x2 + x3 = 0 + 2
2i2 + -1i2x + 5x + -4x2 + x3 = 0 + 2

Combine like terms: 0 + 2 = 2
2i2 + -1i2x + 5x + -4x2 + x3 = 2

Add '-5x' to each side of the equation.
2i2 + -1i2x + 5x + -4x2 + -5x + x3 = 2 + -5x

Reorder the terms:
2i2 + -1i2x + 5x + -5x + -4x2 + x3 = 2 + -5x

Combine like terms: 5x + -5x = 0
2i2 + -1i2x + 0 + -4x2 + x3 = 2 + -5x
2i2 + -1i2x + -4x2 + x3 = 2 + -5x

Add '4x2' to each side of the equation.
2i2 + -1i2x + -4x2 + 4x2 + x3 = 2 + -5x + 4x2

Combine like terms: -4x2 + 4x2 = 0
2i2 + -1i2x + 0 + x3 = 2 + -5x + 4x2
2i2 + -1i2x + x3 = 2 + -5x + 4x2

Add '-1x3' to each side of the equation.
2i2 + -1i2x + x3 + -1x3 = 2 + -5x + 4x2 + -1x3

Combine like terms: x3 + -1x3 = 0
2i2 + -1i2x + 0 = 2 + -5x + 4x2 + -1x3
2i2 + -1i2x = 2 + -5x + 4x2 + -1x3

Reorder the terms:
-2 + 2i2 + -1i2x + 5x + -4x2 + x3 = 2 + -5x + 4x2 + -1x3 + -2 + 5x + -4x2 + x3

Reorder the terms:
-2 + 2i2 + -1i2x + 5x + -4x2 + x3 = 2 + -2 + -5x + 5x + 4x2 + -4x2 + -1x3 + x3

Combine like terms: 2 + -2 = 0
-2 + 2i2 + -1i2x + 5x + -4x2 + x3 = 0 + -5x + 5x + 4x2 + -4x2 + -1x3 + x3
-2 + 2i2 + -1i2x + 5x + -4x2 + x3 = -5x + 5x + 4x2 + -4x2 + -1x3 + x3

Combine like terms: -5x + 5x = 0
-2 + 2i2 + -1i2x + 5x + -4x2 + x3 = 0 + 4x2 + -4x2 + -1x3 + x3
-2 + 2i2 + -1i2x + 5x + -4x2 + x3 = 4x2 + -4x2 + -1x3 + x3

Combine like terms: 4x2 + -4x2 = 0
-2 + 2i2 + -1i2x + 5x + -4x2 + x3 = 0 + -1x3 + x3
-2 + 2i2 + -1i2x + 5x + -4x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-2 + 2i2 + -1i2x + 5x + -4x2 + x3 = 0

The solution to this equation could not be determined.

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