f(x)=[x-(6-5i)][x-(6+5i)]

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Solution for f(x)=[x-(6-5i)][x-(6+5i)] equation: 


Simplifying
f(x) = [x + -1(6 + -5i)][x + -1(6 + 5i)]

Multiply f * x
fx = [x + -1(6 + -5i)][x + -1(6 + 5i)]
fx = [x + (6 * -1 + -5i * -1)][x + -1(6 + 5i)]
fx = [x + (-6 + 5i)][x + -1(6 + 5i)]

Reorder the terms:
fx = [-6 + 5i + x][x + -1(6 + 5i)]
fx = [-6 + 5i + x][x + (6 * -1 + 5i * -1)]
fx = [-6 + 5i + x][x + (-6 + -5i)]

Reorder the terms:
fx = [-6 + 5i + x][-6 + -5i + x]

Multiply [-6 + 5i + x] * [-6 + -5i + x]
fx = [-6[-6 + -5i + x] + 5i * [-6 + -5i + x] + x[-6 + -5i + x]]
fx = [[-6 * -6 + -5i * -6 + x * -6] + 5i * [-6 + -5i + x] + x[-6 + -5i + x]]
fx = [[36 + 30i + -6x] + 5i * [-6 + -5i + x] + x[-6 + -5i + x]]
fx = [36 + 30i + -6x + [-6 * 5i + -5i * 5i + x * 5i] + x[-6 + -5i + x]]

Reorder the terms:
fx = [36 + 30i + -6x + [-30i + 5ix + -25i2] + x[-6 + -5i + x]]
fx = [36 + 30i + -6x + [-30i + 5ix + -25i2] + x[-6 + -5i + x]]
fx = [36 + 30i + -6x + -30i + 5ix + -25i2 + [-6 * x + -5i * x + x * x]]

Reorder the terms:
fx = [36 + 30i + -6x + -30i + 5ix + -25i2 + [-5ix + -6x + x2]]
fx = [36 + 30i + -6x + -30i + 5ix + -25i2 + [-5ix + -6x + x2]]

Reorder the terms:
fx = [36 + 30i + -30i + 5ix + -5ix + -25i2 + -6x + -6x + x2]

Combine like terms: 30i + -30i = 0
fx = [36 + 0 + 5ix + -5ix + -25i2 + -6x + -6x + x2]
fx = [36 + 5ix + -5ix + -25i2 + -6x + -6x + x2]

Combine like terms: 5ix + -5ix = 0
fx = [36 + 0 + -25i2 + -6x + -6x + x2]
fx = [36 + -25i2 + -6x + -6x + x2]

Combine like terms: -6x + -6x = -12x
fx = [36 + -25i2 + -12x + x2]

Solving
fx = 36 + -25i2 + -12x + 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 = 36x-1 + -25i2x-1 + -12 + x

Simplifying
f = 36x-1 + -25i2x-1 + -12 + x

Reorder the terms:
f = -12 + -25i2x-1 + 36x-1 + x

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