F(x)=(x+I)(x-I)

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Solution for F(x)=(x+I)(x-I) equation: 


Simplifying
F(x) = (x + I)(x + -1I)

Multiply F * x
xF = (x + I)(x + -1I)

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

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

Multiply (I + x) * (-1I + x)
xF = (I(-1I + x) + x(-1I + x))
xF = ((-1I * I + x * I) + x(-1I + x))
xF = ((-1I2 + xI) + x(-1I + x))
xF = (-1I2 + xI + (-1I * x + x * x))
xF = (-1I2 + xI + (-1xI + x2))

Combine like terms: xI + -1xI = 0
xF = (-1I2 + 0 + x2)
xF = (-1I2 + x2)

Solving
xF = -1I2 + x2

Solving for variable 'x'.

Reorder the terms:
I2 + xF + -1x2 = -1I2 + x2 + I2 + -1x2

Reorder the terms:
I2 + xF + -1x2 = -1I2 + I2 + x2 + -1x2

Combine like terms: -1I2 + I2 = 0
I2 + xF + -1x2 = 0 + x2 + -1x2
I2 + xF + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
I2 + xF + -1x2 = 0

The solution to this equation could not be determined.

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