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

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Solution for f(x)=[x-(1+3i)][x-(1-3i)](x+2)(x-1) equation: 


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

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

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

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

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

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

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

Reorder the terms:
fx = [1 + -3i + -1x + [3i + -3ix + -9i2] + x[-1 + 3i + x]](2 + x)(-1 + x)
fx = [1 + -3i + -1x + [3i + -3ix + -9i2] + x[-1 + 3i + x]](2 + x)(-1 + x)
fx = [1 + -3i + -1x + 3i + -3ix + -9i2 + [-1 * x + 3i * x + x * x]](2 + x)(-1 + x)

Reorder the terms:
fx = [1 + -3i + -1x + 3i + -3ix + -9i2 + [3ix + -1x + x2]](2 + x)(-1 + x)
fx = [1 + -3i + -1x + 3i + -3ix + -9i2 + [3ix + -1x + x2]](2 + x)(-1 + x)

Reorder the terms:
fx = [1 + -3i + 3i + -3ix + 3ix + -9i2 + -1x + -1x + x2](2 + x)(-1 + x)

Combine like terms: -3i + 3i = 0
fx = [1 + 0 + -3ix + 3ix + -9i2 + -1x + -1x + x2](2 + x)(-1 + x)
fx = [1 + -3ix + 3ix + -9i2 + -1x + -1x + x2](2 + x)(-1 + x)

Combine like terms: -3ix + 3ix = 0
fx = [1 + 0 + -9i2 + -1x + -1x + x2](2 + x)(-1 + x)
fx = [1 + -9i2 + -1x + -1x + x2](2 + x)(-1 + x)

Combine like terms: -1x + -1x = -2x
fx = [1 + -9i2 + -2x + x2](2 + x)(-1 + x)

Multiply [1 + -9i2 + -2x + x2] * (2 + x)
fx = [1(2 + x) + -9i2 * (2 + x) + -2x * (2 + x) + x2(2 + x)](-1 + x)
fx = [(2 * 1 + x * 1) + -9i2 * (2 + x) + -2x * (2 + x) + x2(2 + x)](-1 + x)
fx = [(2 + 1x) + -9i2 * (2 + x) + -2x * (2 + x) + x2(2 + x)](-1 + x)
fx = [2 + 1x + (2 * -9i2 + x * -9i2) + -2x * (2 + x) + x2(2 + x)](-1 + x)
fx = [2 + 1x + (-18i2 + -9i2x) + -2x * (2 + x) + x2(2 + x)](-1 + x)
fx = [2 + 1x + -18i2 + -9i2x + (2 * -2x + x * -2x) + x2(2 + x)](-1 + x)
fx = [2 + 1x + -18i2 + -9i2x + (-4x + -2x2) + x2(2 + x)](-1 + x)
fx = [2 + 1x + -18i2 + -9i2x + -4x + -2x2 + (2 * x2 + x * x2)](-1 + x)
fx = [2 + 1x + -18i2 + -9i2x + -4x + -2x2 + (2x2 + x3)](-1 + x)

Reorder the terms:
fx = [2 + -18i2 + -9i2x + 1x + -4x + -2x2 + 2x2 + x3](-1 + x)

Combine like terms: 1x + -4x = -3x
fx = [2 + -18i2 + -9i2x + -3x + -2x2 + 2x2 + x3](-1 + x)

Combine like terms: -2x2 + 2x2 = 0
fx = [2 + -18i2 + -9i2x + -3x + 0 + x3](-1 + x)
fx = [2 + -18i2 + -9i2x + -3x + x3](-1 + x)

Multiply [2 + -18i2 + -9i2x + -3x + x3] * (-1 + x)
fx = [2(-1 + x) + -18i2 * (-1 + x) + -9i2x * (-1 + x) + -3x * (-1 + x) + x3(-1 + x)]
fx = [(-1 * 2 + x * 2) + -18i2 * (-1 + x) + -9i2x * (-1 + x) + -3x * (-1 + x) + x3(-1 + x)]
fx = [(-2 + 2x) + -18i2 * (-1 + x) + -9i2x * (-1 + x) + -3x * (-1 + x) + x3(-1 + x)]
fx = [-2 + 2x + (-1 * -18i2 + x * -18i2) + -9i2x * (-1 + x) + -3x * (-1 + x) + x3(-1 + x)]
fx = [-2 + 2x + (18i2 + -18i2x) + -9i2x * (-1 + x) + -3x * (-1 + x) + x3(-1 + x)]
fx = [-2 + 2x + 18i2 + -18i2x + (-1 * -9i2x + x * -9i2x) + -3x * (-1 + x) + x3(-1 + x)]
fx = [-2 + 2x + 18i2 + -18i2x + (9i2x + -9i2x2) + -3x * (-1 + x) + x3(-1 + x)]
fx = [-2 + 2x + 18i2 + -18i2x + 9i2x + -9i2x2 + (-1 * -3x + x * -3x) + x3(-1 + x)]
fx = [-2 + 2x + 18i2 + -18i2x + 9i2x + -9i2x2 + (3x + -3x2) + x3(-1 + x)]
fx = [-2 + 2x + 18i2 + -18i2x + 9i2x + -9i2x2 + 3x + -3x2 + (-1 * x3 + x * x3)]
fx = [-2 + 2x + 18i2 + -18i2x + 9i2x + -9i2x2 + 3x + -3x2 + (-1x3 + x4)]

Reorder the terms:
fx = [-2 + 18i2 + -18i2x + 9i2x + -9i2x2 + 2x + 3x + -3x2 + -1x3 + x4]

Combine like terms: -18i2x + 9i2x = -9i2x
fx = [-2 + 18i2 + -9i2x + -9i2x2 + 2x + 3x + -3x2 + -1x3 + x4]

Combine like terms: 2x + 3x = 5x
fx = [-2 + 18i2 + -9i2x + -9i2x2 + 5x + -3x2 + -1x3 + x4]

Solving
fx = -2 + 18i2 + -9i2x + -9i2x2 + 5x + -3x2 + -1x3 + x4

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -2x-1 + 18i2x-1 + -9i2 + -9i2x + 5 + -3x + -1x2 + x3

Simplifying
f = -2x-1 + 18i2x-1 + -9i2 + -9i2x + 5 + -3x + -1x2 + x3

Reorder the terms:
f = 5 + -9i2 + 18i2x-1 + -9i2x + -2x-1 + -3x + -1x2 + x3

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