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

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


Simplifying
Y = (x + -1(1 + -1i))(x + -1(1 + i))
Y = (x + (1 * -1 + -1i * -1))(x + -1(1 + i))
Y = (x + (-1 + 1i))(x + -1(1 + i))

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

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

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

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

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

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

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

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

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

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

Solving for variable 'Y'.

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

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

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