f(x)=[x-(2-3i)][x-(2+3i)](x-3)

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Solution for f(x)=[x-(2-3i)][x-(2+3i)](x-3) equation: 


Simplifying
f(x) = [x + -1(2 + -3i)][x + -1(2 + 3i)](x + -3)

Multiply f * x
fx = [x + -1(2 + -3i)][x + -1(2 + 3i)](x + -3)
fx = [x + (2 * -1 + -3i * -1)][x + -1(2 + 3i)](x + -3)
fx = [x + (-2 + 3i)][x + -1(2 + 3i)](x + -3)

Reorder the terms:
fx = [-2 + 3i + x][x + -1(2 + 3i)](x + -3)
fx = [-2 + 3i + x][x + (2 * -1 + 3i * -1)](x + -3)
fx = [-2 + 3i + x][x + (-2 + -3i)](x + -3)

Reorder the terms:
fx = [-2 + 3i + x][-2 + -3i + x](x + -3)

Reorder the terms:
fx = [-2 + 3i + x][-2 + -3i + x](-3 + x)

Multiply [-2 + 3i + x] * [-2 + -3i + x]
fx = [-2[-2 + -3i + x] + 3i * [-2 + -3i + x] + x[-2 + -3i + x]](-3 + x)
fx = [[-2 * -2 + -3i * -2 + x * -2] + 3i * [-2 + -3i + x] + x[-2 + -3i + x]](-3 + x)
fx = [[4 + 6i + -2x] + 3i * [-2 + -3i + x] + x[-2 + -3i + x]](-3 + x)
fx = [4 + 6i + -2x + [-2 * 3i + -3i * 3i + x * 3i] + x[-2 + -3i + x]](-3 + x)

Reorder the terms:
fx = [4 + 6i + -2x + [-6i + 3ix + -9i2] + x[-2 + -3i + x]](-3 + x)
fx = [4 + 6i + -2x + [-6i + 3ix + -9i2] + x[-2 + -3i + x]](-3 + x)
fx = [4 + 6i + -2x + -6i + 3ix + -9i2 + [-2 * x + -3i * x + x * x]](-3 + x)

Reorder the terms:
fx = [4 + 6i + -2x + -6i + 3ix + -9i2 + [-3ix + -2x + x2]](-3 + x)
fx = [4 + 6i + -2x + -6i + 3ix + -9i2 + [-3ix + -2x + x2]](-3 + x)

Reorder the terms:
fx = [4 + 6i + -6i + 3ix + -3ix + -9i2 + -2x + -2x + x2](-3 + x)

Combine like terms: 6i + -6i = 0
fx = [4 + 0 + 3ix + -3ix + -9i2 + -2x + -2x + x2](-3 + x)
fx = [4 + 3ix + -3ix + -9i2 + -2x + -2x + x2](-3 + x)

Combine like terms: 3ix + -3ix = 0
fx = [4 + 0 + -9i2 + -2x + -2x + x2](-3 + x)
fx = [4 + -9i2 + -2x + -2x + x2](-3 + x)

Combine like terms: -2x + -2x = -4x
fx = [4 + -9i2 + -4x + x2](-3 + x)

Multiply [4 + -9i2 + -4x + x2] * (-3 + x)
fx = [4(-3 + x) + -9i2 * (-3 + x) + -4x * (-3 + x) + x2(-3 + x)]
fx = [(-3 * 4 + x * 4) + -9i2 * (-3 + x) + -4x * (-3 + x) + x2(-3 + x)]
fx = [(-12 + 4x) + -9i2 * (-3 + x) + -4x * (-3 + x) + x2(-3 + x)]
fx = [-12 + 4x + (-3 * -9i2 + x * -9i2) + -4x * (-3 + x) + x2(-3 + x)]
fx = [-12 + 4x + (27i2 + -9i2x) + -4x * (-3 + x) + x2(-3 + x)]
fx = [-12 + 4x + 27i2 + -9i2x + (-3 * -4x + x * -4x) + x2(-3 + x)]
fx = [-12 + 4x + 27i2 + -9i2x + (12x + -4x2) + x2(-3 + x)]
fx = [-12 + 4x + 27i2 + -9i2x + 12x + -4x2 + (-3 * x2 + x * x2)]
fx = [-12 + 4x + 27i2 + -9i2x + 12x + -4x2 + (-3x2 + x3)]

Reorder the terms:
fx = [-12 + 27i2 + -9i2x + 4x + 12x + -4x2 + -3x2 + x3]

Combine like terms: 4x + 12x = 16x
fx = [-12 + 27i2 + -9i2x + 16x + -4x2 + -3x2 + x3]

Combine like terms: -4x2 + -3x2 = -7x2
fx = [-12 + 27i2 + -9i2x + 16x + -7x2 + x3]

Solving
fx = -12 + 27i2 + -9i2x + 16x + -7x2 + x3

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -12x-1 + 27i2x-1 + -9i2 + 16 + -7x + x2

Simplifying
f = -12x-1 + 27i2x-1 + -9i2 + 16 + -7x + x2

Reorder the terms:
f = 16 + -9i2 + 27i2x-1 + -12x-1 + -7x + x2

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