f(x)=(x+4i)(x-4i)

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Solution for f(x)=(x+4i)(x-4i) equation: 


Simplifying
f(x) = (x + 4i)(x + -4i)

Multiply f * x
fx = (x + 4i)(x + -4i)

Reorder the terms:
fx = (4i + x)(x + -4i)

Reorder the terms:
fx = (4i + x)(-4i + x)

Multiply (4i + x) * (-4i + x)
fx = (4i * (-4i + x) + x(-4i + x))
fx = ((-4i * 4i + x * 4i) + x(-4i + x))

Reorder the terms:
fx = ((4ix + -16i2) + x(-4i + x))
fx = ((4ix + -16i2) + x(-4i + x))
fx = (4ix + -16i2 + (-4i * x + x * x))
fx = (4ix + -16i2 + (-4ix + x2))

Reorder the terms:
fx = (4ix + -4ix + -16i2 + x2)

Combine like terms: 4ix + -4ix = 0
fx = (0 + -16i2 + x2)
fx = (-16i2 + x2)

Solving
fx = -16i2 + x2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -16i2x-1 + x

Simplifying
f = -16i2x-1 + x

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