f(x)=(x-7-5i)(x-7+5i)

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Solution for f(x)=(x-7-5i)(x-7+5i) equation:


Simplifying
f(x) = (x + -7 + -5i)(x + -7 + 5i)

Multiply f * x
fx = (x + -7 + -5i)(x + -7 + 5i)

Reorder the terms:
fx = (-7 + -5i + x)(x + -7 + 5i)

Reorder the terms:
fx = (-7 + -5i + x)(-7 + 5i + x)

Multiply (-7 + -5i + x) * (-7 + 5i + x)
fx = (-7(-7 + 5i + x) + -5i * (-7 + 5i + x) + x(-7 + 5i + x))
fx = ((-7 * -7 + 5i * -7 + x * -7) + -5i * (-7 + 5i + x) + x(-7 + 5i + x))
fx = ((49 + -35i + -7x) + -5i * (-7 + 5i + x) + x(-7 + 5i + x))
fx = (49 + -35i + -7x + (-7 * -5i + 5i * -5i + x * -5i) + x(-7 + 5i + x))

Reorder the terms:
fx = (49 + -35i + -7x + (35i + -5ix + -25i2) + x(-7 + 5i + x))
fx = (49 + -35i + -7x + (35i + -5ix + -25i2) + x(-7 + 5i + x))
fx = (49 + -35i + -7x + 35i + -5ix + -25i2 + (-7 * x + 5i * x + x * x))

Reorder the terms:
fx = (49 + -35i + -7x + 35i + -5ix + -25i2 + (5ix + -7x + x2))
fx = (49 + -35i + -7x + 35i + -5ix + -25i2 + (5ix + -7x + x2))

Reorder the terms:
fx = (49 + -35i + 35i + -5ix + 5ix + -25i2 + -7x + -7x + x2)

Combine like terms: -35i + 35i = 0
fx = (49 + 0 + -5ix + 5ix + -25i2 + -7x + -7x + x2)
fx = (49 + -5ix + 5ix + -25i2 + -7x + -7x + x2)

Combine like terms: -5ix + 5ix = 0
fx = (49 + 0 + -25i2 + -7x + -7x + x2)
fx = (49 + -25i2 + -7x + -7x + x2)

Combine like terms: -7x + -7x = -14x
fx = (49 + -25i2 + -14x + x2)

Solving
fx = 49 + -25i2 + -14x + 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 = 49x-1 + -25i2x-1 + -14 + x

Simplifying
f = 49x-1 + -25i2x-1 + -14 + x

Reorder the terms:
f = -14 + -25i2x-1 + 49x-1 + x

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