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

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


Simplifying
p(x) = [x + -1(1 + i)][x + -1(1 + -1i)](x2 + -2)(x + 3)

Multiply p * x
px = [x + -1(1 + i)][x + -1(1 + -1i)](x2 + -2)(x + 3)
px = [x + (1 * -1 + i * -1)][x + -1(1 + -1i)](x2 + -2)(x + 3)
px = [x + (-1 + -1i)][x + -1(1 + -1i)](x2 + -2)(x + 3)

Reorder the terms:
px = [-1 + -1i + x][x + -1(1 + -1i)](x2 + -2)(x + 3)
px = [-1 + -1i + x][x + (1 * -1 + -1i * -1)](x2 + -2)(x + 3)
px = [-1 + -1i + x][x + (-1 + 1i)](x2 + -2)(x + 3)

Reorder the terms:
px = [-1 + -1i + x][-1 + 1i + x](x2 + -2)(x + 3)

Reorder the terms:
px = [-1 + -1i + x][-1 + 1i + x](-2 + x2)(x + 3)

Reorder the terms:
px = [-1 + -1i + x][-1 + 1i + x](-2 + x2)(3 + x)

Multiply [-1 + -1i + x] * [-1 + 1i + x]
px = [-1[-1 + 1i + x] + -1i * [-1 + 1i + x] + x[-1 + 1i + x]](-2 + x2)(3 + x)
px = [[-1 * -1 + 1i * -1 + x * -1] + -1i * [-1 + 1i + x] + x[-1 + 1i + x]](-2 + x2)(3 + x)
px = [[1 + -1i + -1x] + -1i * [-1 + 1i + x] + x[-1 + 1i + x]](-2 + x2)(3 + x)
px = [1 + -1i + -1x + [-1 * -1i + 1i * -1i + x * -1i] + x[-1 + 1i + x]](-2 + x2)(3 + x)

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

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

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

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

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

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

Multiply [1 + -1i2 + -2x + x2] * (-2 + x2)
px = [1(-2 + x2) + -1i2 * (-2 + x2) + -2x * (-2 + x2) + x2(-2 + x2)](3 + x)
px = [(-2 * 1 + x2 * 1) + -1i2 * (-2 + x2) + -2x * (-2 + x2) + x2(-2 + x2)](3 + x)
px = [(-2 + 1x2) + -1i2 * (-2 + x2) + -2x * (-2 + x2) + x2(-2 + x2)](3 + x)
px = [-2 + 1x2 + (-2 * -1i2 + x2 * -1i2) + -2x * (-2 + x2) + x2(-2 + x2)](3 + x)
px = [-2 + 1x2 + (2i2 + -1i2x2) + -2x * (-2 + x2) + x2(-2 + x2)](3 + x)
px = [-2 + 1x2 + 2i2 + -1i2x2 + (-2 * -2x + x2 * -2x) + x2(-2 + x2)](3 + x)
px = [-2 + 1x2 + 2i2 + -1i2x2 + (4x + -2x3) + x2(-2 + x2)](3 + x)
px = [-2 + 1x2 + 2i2 + -1i2x2 + 4x + -2x3 + (-2 * x2 + x2 * x2)](3 + x)
px = [-2 + 1x2 + 2i2 + -1i2x2 + 4x + -2x3 + (-2x2 + x4)](3 + x)

Reorder the terms:
px = [-2 + 2i2 + -1i2x2 + 4x + 1x2 + -2x2 + -2x3 + x4](3 + x)

Combine like terms: 1x2 + -2x2 = -1x2
px = [-2 + 2i2 + -1i2x2 + 4x + -1x2 + -2x3 + x4](3 + x)

Multiply [-2 + 2i2 + -1i2x2 + 4x + -1x2 + -2x3 + x4] * (3 + x)
px = [-2(3 + x) + 2i2 * (3 + x) + -1i2x2 * (3 + x) + 4x * (3 + x) + -1x2 * (3 + x) + -2x3 * (3 + x) + x4(3 + x)]
px = [(3 * -2 + x * -2) + 2i2 * (3 + x) + -1i2x2 * (3 + x) + 4x * (3 + x) + -1x2 * (3 + x) + -2x3 * (3 + x) + x4(3 + x)]
px = [(-6 + -2x) + 2i2 * (3 + x) + -1i2x2 * (3 + x) + 4x * (3 + x) + -1x2 * (3 + x) + -2x3 * (3 + x) + x4(3 + x)]
px = [-6 + -2x + (3 * 2i2 + x * 2i2) + -1i2x2 * (3 + x) + 4x * (3 + x) + -1x2 * (3 + x) + -2x3 * (3 + x) + x4(3 + x)]
px = [-6 + -2x + (6i2 + 2i2x) + -1i2x2 * (3 + x) + 4x * (3 + x) + -1x2 * (3 + x) + -2x3 * (3 + x) + x4(3 + x)]
px = [-6 + -2x + 6i2 + 2i2x + (3 * -1i2x2 + x * -1i2x2) + 4x * (3 + x) + -1x2 * (3 + x) + -2x3 * (3 + x) + x4(3 + x)]
px = [-6 + -2x + 6i2 + 2i2x + (-3i2x2 + -1i2x3) + 4x * (3 + x) + -1x2 * (3 + x) + -2x3 * (3 + x) + x4(3 + x)]
px = [-6 + -2x + 6i2 + 2i2x + -3i2x2 + -1i2x3 + (3 * 4x + x * 4x) + -1x2 * (3 + x) + -2x3 * (3 + x) + x4(3 + x)]
px = [-6 + -2x + 6i2 + 2i2x + -3i2x2 + -1i2x3 + (12x + 4x2) + -1x2 * (3 + x) + -2x3 * (3 + x) + x4(3 + x)]
px = [-6 + -2x + 6i2 + 2i2x + -3i2x2 + -1i2x3 + 12x + 4x2 + (3 * -1x2 + x * -1x2) + -2x3 * (3 + x) + x4(3 + x)]
px = [-6 + -2x + 6i2 + 2i2x + -3i2x2 + -1i2x3 + 12x + 4x2 + (-3x2 + -1x3) + -2x3 * (3 + x) + x4(3 + x)]
px = [-6 + -2x + 6i2 + 2i2x + -3i2x2 + -1i2x3 + 12x + 4x2 + -3x2 + -1x3 + (3 * -2x3 + x * -2x3) + x4(3 + x)]
px = [-6 + -2x + 6i2 + 2i2x + -3i2x2 + -1i2x3 + 12x + 4x2 + -3x2 + -1x3 + (-6x3 + -2x4) + x4(3 + x)]
px = [-6 + -2x + 6i2 + 2i2x + -3i2x2 + -1i2x3 + 12x + 4x2 + -3x2 + -1x3 + -6x3 + -2x4 + (3 * x4 + x * x4)]
px = [-6 + -2x + 6i2 + 2i2x + -3i2x2 + -1i2x3 + 12x + 4x2 + -3x2 + -1x3 + -6x3 + -2x4 + (3x4 + x5)]

Reorder the terms:
px = [-6 + 6i2 + 2i2x + -3i2x2 + -1i2x3 + -2x + 12x + 4x2 + -3x2 + -1x3 + -6x3 + -2x4 + 3x4 + x5]

Combine like terms: -2x + 12x = 10x
px = [-6 + 6i2 + 2i2x + -3i2x2 + -1i2x3 + 10x + 4x2 + -3x2 + -1x3 + -6x3 + -2x4 + 3x4 + x5]

Combine like terms: 4x2 + -3x2 = 1x2
px = [-6 + 6i2 + 2i2x + -3i2x2 + -1i2x3 + 10x + 1x2 + -1x3 + -6x3 + -2x4 + 3x4 + x5]

Combine like terms: -1x3 + -6x3 = -7x3
px = [-6 + 6i2 + 2i2x + -3i2x2 + -1i2x3 + 10x + 1x2 + -7x3 + -2x4 + 3x4 + x5]

Combine like terms: -2x4 + 3x4 = 1x4
px = [-6 + 6i2 + 2i2x + -3i2x2 + -1i2x3 + 10x + 1x2 + -7x3 + 1x4 + x5]

Solving
px = -6 + 6i2 + 2i2x + -3i2x2 + -1i2x3 + 10x + 1x2 + -7x3 + 1x4 + x5

Solving for variable 'p'.

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

Divide each side by 'x'.
p = -6x-1 + 6i2x-1 + 2i2 + -3i2x + -1i2x2 + 10 + x + -7x2 + x3 + x4

Simplifying
p = -6x-1 + 6i2x-1 + 2i2 + -3i2x + -1i2x2 + 10 + x + -7x2 + x3 + x4

Reorder the terms:
p = 10 + 2i2 + 6i2x-1 + -3i2x + -1i2x2 + -6x-1 + x + -7x2 + x3 + x4

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