f(x)=(x-9-4i)(x-9+4i)

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Solution for f(x)=(x-9-4i)(x-9+4i) equation: 


Simplifying
f(x) = (x + -9 + -4i)(x + -9 + 4i)

Multiply f * x
fx = (x + -9 + -4i)(x + -9 + 4i)

Reorder the terms:
fx = (-9 + -4i + x)(x + -9 + 4i)

Reorder the terms:
fx = (-9 + -4i + x)(-9 + 4i + x)

Multiply (-9 + -4i + x) * (-9 + 4i + x)
fx = (-9(-9 + 4i + x) + -4i * (-9 + 4i + x) + x(-9 + 4i + x))
fx = ((-9 * -9 + 4i * -9 + x * -9) + -4i * (-9 + 4i + x) + x(-9 + 4i + x))
fx = ((81 + -36i + -9x) + -4i * (-9 + 4i + x) + x(-9 + 4i + x))
fx = (81 + -36i + -9x + (-9 * -4i + 4i * -4i + x * -4i) + x(-9 + 4i + x))

Reorder the terms:
fx = (81 + -36i + -9x + (36i + -4ix + -16i2) + x(-9 + 4i + x))
fx = (81 + -36i + -9x + (36i + -4ix + -16i2) + x(-9 + 4i + x))
fx = (81 + -36i + -9x + 36i + -4ix + -16i2 + (-9 * x + 4i * x + x * x))

Reorder the terms:
fx = (81 + -36i + -9x + 36i + -4ix + -16i2 + (4ix + -9x + x2))
fx = (81 + -36i + -9x + 36i + -4ix + -16i2 + (4ix + -9x + x2))

Reorder the terms:
fx = (81 + -36i + 36i + -4ix + 4ix + -16i2 + -9x + -9x + x2)

Combine like terms: -36i + 36i = 0
fx = (81 + 0 + -4ix + 4ix + -16i2 + -9x + -9x + x2)
fx = (81 + -4ix + 4ix + -16i2 + -9x + -9x + x2)

Combine like terms: -4ix + 4ix = 0
fx = (81 + 0 + -16i2 + -9x + -9x + x2)
fx = (81 + -16i2 + -9x + -9x + x2)

Combine like terms: -9x + -9x = -18x
fx = (81 + -16i2 + -18x + x2)

Solving
fx = 81 + -16i2 + -18x + 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 = 81x-1 + -16i2x-1 + -18 + x

Simplifying
f = 81x-1 + -16i2x-1 + -18 + x

Reorder the terms:
f = -18 + -16i2x-1 + 81x-1 + x

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