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

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


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

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

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

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

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

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

Multiply [-3 + -2i + x] * [-3 + 2i + x]
px = [-3[-3 + 2i + x] + -2i * [-3 + 2i + x] + x[-3 + 2i + x]](1 + x)(-2 + x)
px = [[-3 * -3 + 2i * -3 + x * -3] + -2i * [-3 + 2i + x] + x[-3 + 2i + x]](1 + x)(-2 + x)
px = [[9 + -6i + -3x] + -2i * [-3 + 2i + x] + x[-3 + 2i + x]](1 + x)(-2 + x)
px = [9 + -6i + -3x + [-3 * -2i + 2i * -2i + x * -2i] + x[-3 + 2i + x]](1 + x)(-2 + x)

Reorder the terms:
px = [9 + -6i + -3x + [6i + -2ix + -4i2] + x[-3 + 2i + x]](1 + x)(-2 + x)
px = [9 + -6i + -3x + [6i + -2ix + -4i2] + x[-3 + 2i + x]](1 + x)(-2 + x)
px = [9 + -6i + -3x + 6i + -2ix + -4i2 + [-3 * x + 2i * x + x * x]](1 + x)(-2 + x)

Reorder the terms:
px = [9 + -6i + -3x + 6i + -2ix + -4i2 + [2ix + -3x + x2]](1 + x)(-2 + x)
px = [9 + -6i + -3x + 6i + -2ix + -4i2 + [2ix + -3x + x2]](1 + x)(-2 + x)

Reorder the terms:
px = [9 + -6i + 6i + -2ix + 2ix + -4i2 + -3x + -3x + x2](1 + x)(-2 + x)

Combine like terms: -6i + 6i = 0
px = [9 + 0 + -2ix + 2ix + -4i2 + -3x + -3x + x2](1 + x)(-2 + x)
px = [9 + -2ix + 2ix + -4i2 + -3x + -3x + x2](1 + x)(-2 + x)

Combine like terms: -2ix + 2ix = 0
px = [9 + 0 + -4i2 + -3x + -3x + x2](1 + x)(-2 + x)
px = [9 + -4i2 + -3x + -3x + x2](1 + x)(-2 + x)

Combine like terms: -3x + -3x = -6x
px = [9 + -4i2 + -6x + x2](1 + x)(-2 + x)

Multiply [9 + -4i2 + -6x + x2] * (1 + x)
px = [9(1 + x) + -4i2 * (1 + x) + -6x * (1 + x) + x2(1 + x)](-2 + x)
px = [(1 * 9 + x * 9) + -4i2 * (1 + x) + -6x * (1 + x) + x2(1 + x)](-2 + x)
px = [(9 + 9x) + -4i2 * (1 + x) + -6x * (1 + x) + x2(1 + x)](-2 + x)
px = [9 + 9x + (1 * -4i2 + x * -4i2) + -6x * (1 + x) + x2(1 + x)](-2 + x)
px = [9 + 9x + (-4i2 + -4i2x) + -6x * (1 + x) + x2(1 + x)](-2 + x)
px = [9 + 9x + -4i2 + -4i2x + (1 * -6x + x * -6x) + x2(1 + x)](-2 + x)
px = [9 + 9x + -4i2 + -4i2x + (-6x + -6x2) + x2(1 + x)](-2 + x)
px = [9 + 9x + -4i2 + -4i2x + -6x + -6x2 + (1 * x2 + x * x2)](-2 + x)
px = [9 + 9x + -4i2 + -4i2x + -6x + -6x2 + (1x2 + x3)](-2 + x)

Reorder the terms:
px = [9 + -4i2 + -4i2x + 9x + -6x + -6x2 + 1x2 + x3](-2 + x)

Combine like terms: 9x + -6x = 3x
px = [9 + -4i2 + -4i2x + 3x + -6x2 + 1x2 + x3](-2 + x)

Combine like terms: -6x2 + 1x2 = -5x2
px = [9 + -4i2 + -4i2x + 3x + -5x2 + x3](-2 + x)

Multiply [9 + -4i2 + -4i2x + 3x + -5x2 + x3] * (-2 + x)
px = [9(-2 + x) + -4i2 * (-2 + x) + -4i2x * (-2 + x) + 3x * (-2 + x) + -5x2 * (-2 + x) + x3(-2 + x)]
px = [(-2 * 9 + x * 9) + -4i2 * (-2 + x) + -4i2x * (-2 + x) + 3x * (-2 + x) + -5x2 * (-2 + x) + x3(-2 + x)]
px = [(-18 + 9x) + -4i2 * (-2 + x) + -4i2x * (-2 + x) + 3x * (-2 + x) + -5x2 * (-2 + x) + x3(-2 + x)]
px = [-18 + 9x + (-2 * -4i2 + x * -4i2) + -4i2x * (-2 + x) + 3x * (-2 + x) + -5x2 * (-2 + x) + x3(-2 + x)]
px = [-18 + 9x + (8i2 + -4i2x) + -4i2x * (-2 + x) + 3x * (-2 + x) + -5x2 * (-2 + x) + x3(-2 + x)]
px = [-18 + 9x + 8i2 + -4i2x + (-2 * -4i2x + x * -4i2x) + 3x * (-2 + x) + -5x2 * (-2 + x) + x3(-2 + x)]
px = [-18 + 9x + 8i2 + -4i2x + (8i2x + -4i2x2) + 3x * (-2 + x) + -5x2 * (-2 + x) + x3(-2 + x)]
px = [-18 + 9x + 8i2 + -4i2x + 8i2x + -4i2x2 + (-2 * 3x + x * 3x) + -5x2 * (-2 + x) + x3(-2 + x)]
px = [-18 + 9x + 8i2 + -4i2x + 8i2x + -4i2x2 + (-6x + 3x2) + -5x2 * (-2 + x) + x3(-2 + x)]
px = [-18 + 9x + 8i2 + -4i2x + 8i2x + -4i2x2 + -6x + 3x2 + (-2 * -5x2 + x * -5x2) + x3(-2 + x)]
px = [-18 + 9x + 8i2 + -4i2x + 8i2x + -4i2x2 + -6x + 3x2 + (10x2 + -5x3) + x3(-2 + x)]
px = [-18 + 9x + 8i2 + -4i2x + 8i2x + -4i2x2 + -6x + 3x2 + 10x2 + -5x3 + (-2 * x3 + x * x3)]
px = [-18 + 9x + 8i2 + -4i2x + 8i2x + -4i2x2 + -6x + 3x2 + 10x2 + -5x3 + (-2x3 + x4)]

Reorder the terms:
px = [-18 + 8i2 + -4i2x + 8i2x + -4i2x2 + 9x + -6x + 3x2 + 10x2 + -5x3 + -2x3 + x4]

Combine like terms: -4i2x + 8i2x = 4i2x
px = [-18 + 8i2 + 4i2x + -4i2x2 + 9x + -6x + 3x2 + 10x2 + -5x3 + -2x3 + x4]

Combine like terms: 9x + -6x = 3x
px = [-18 + 8i2 + 4i2x + -4i2x2 + 3x + 3x2 + 10x2 + -5x3 + -2x3 + x4]

Combine like terms: 3x2 + 10x2 = 13x2
px = [-18 + 8i2 + 4i2x + -4i2x2 + 3x + 13x2 + -5x3 + -2x3 + x4]

Combine like terms: -5x3 + -2x3 = -7x3
px = [-18 + 8i2 + 4i2x + -4i2x2 + 3x + 13x2 + -7x3 + x4]

Solving
px = -18 + 8i2 + 4i2x + -4i2x2 + 3x + 13x2 + -7x3 + x4

Solving for variable 'p'.

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

Divide each side by 'x'.
p = -18x-1 + 8i2x-1 + 4i2 + -4i2x + 3 + 13x + -7x2 + x3

Simplifying
p = -18x-1 + 8i2x-1 + 4i2 + -4i2x + 3 + 13x + -7x2 + x3

Reorder the terms:
p = 3 + 4i2 + 8i2x-1 + -4i2x + -18x-1 + 13x + -7x2 + x3

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