y=(x+i)(x-i)

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Solution for y=(x+i)(x-i) equation: 


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

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

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

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

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

Reorder the terms:
y = (ix + -1ix + -1i2 + x2)

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

Solving
y = -1i2 + x2

Solving for variable 'y'.

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

Simplifying
y = -1i2 + x2

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