[x+(1+3i)][x-(1-3i)](x+1)(x-2)=0

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Solution for [x+(1+3i)][x-(1-3i)](x+1)(x-2)=0 equation: 


Simplifying
[x + (1 + 3i)][x + -1(1 + -3i)](x + 1)(x + -2) = 0

Remove parenthesis around (1 + 3i)
[x + 1 + 3i][x + -1(1 + -3i)](x + 1)(x + -2) = 0

Reorder the terms:
[1 + 3i + x][x + -1(1 + -3i)](x + 1)(x + -2) = 0
[1 + 3i + x][x + (1 * -1 + -3i * -1)](x + 1)(x + -2) = 0
[1 + 3i + x][x + (-1 + 3i)](x + 1)(x + -2) = 0

Reorder the terms:
[1 + 3i + x][-1 + 3i + x](x + 1)(x + -2) = 0

Reorder the terms:
[1 + 3i + x][-1 + 3i + x](1 + x)(x + -2) = 0

Reorder the terms:
[1 + 3i + x][-1 + 3i + x](1 + x)(-2 + x) = 0

Multiply [1 + 3i + x] * [-1 + 3i + x]
[1[-1 + 3i + x] + 3i * [-1 + 3i + x] + x[-1 + 3i + x]](1 + x)(-2 + x) = 0
[[-1 * 1 + 3i * 1 + x * 1] + 3i * [-1 + 3i + x] + x[-1 + 3i + x]](1 + x)(-2 + x) = 0
[[-1 + 3i + 1x] + 3i * [-1 + 3i + x] + x[-1 + 3i + x]](1 + x)(-2 + x) = 0
[-1 + 3i + 1x + [-1 * 3i + 3i * 3i + x * 3i] + x[-1 + 3i + x]](1 + x)(-2 + x) = 0

Reorder the terms:
[-1 + 3i + 1x + [-3i + 3ix + 9i2] + x[-1 + 3i + x]](1 + x)(-2 + x) = 0
[-1 + 3i + 1x + [-3i + 3ix + 9i2] + x[-1 + 3i + x]](1 + x)(-2 + x) = 0
[-1 + 3i + 1x + -3i + 3ix + 9i2 + [-1 * x + 3i * x + x * x]](1 + x)(-2 + x) = 0

Reorder the terms:
[-1 + 3i + 1x + -3i + 3ix + 9i2 + [3ix + -1x + x2]](1 + x)(-2 + x) = 0
[-1 + 3i + 1x + -3i + 3ix + 9i2 + [3ix + -1x + x2]](1 + x)(-2 + x) = 0

Reorder the terms:
[-1 + 3i + -3i + 3ix + 3ix + 9i2 + 1x + -1x + x2](1 + x)(-2 + x) = 0

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

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

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

Multiply [-1 + 6ix + 9i2 + x2] * (1 + x)
[-1(1 + x) + 6ix * (1 + x) + 9i2 * (1 + x) + x2(1 + x)](-2 + x) = 0
[(1 * -1 + x * -1) + 6ix * (1 + x) + 9i2 * (1 + x) + x2(1 + x)](-2 + x) = 0
[(-1 + -1x) + 6ix * (1 + x) + 9i2 * (1 + x) + x2(1 + x)](-2 + x) = 0
[-1 + -1x + (1 * 6ix + x * 6ix) + 9i2 * (1 + x) + x2(1 + x)](-2 + x) = 0
[-1 + -1x + (6ix + 6ix2) + 9i2 * (1 + x) + x2(1 + x)](-2 + x) = 0
[-1 + -1x + 6ix + 6ix2 + (1 * 9i2 + x * 9i2) + x2(1 + x)](-2 + x) = 0
[-1 + -1x + 6ix + 6ix2 + (9i2 + 9i2x) + x2(1 + x)](-2 + x) = 0
[-1 + -1x + 6ix + 6ix2 + 9i2 + 9i2x + (1 * x2 + x * x2)](-2 + x) = 0
[-1 + -1x + 6ix + 6ix2 + 9i2 + 9i2x + (1x2 + x3)](-2 + x) = 0

Reorder the terms:
[-1 + 6ix + 6ix2 + 9i2 + 9i2x + -1x + 1x2 + x3](-2 + x) = 0
[-1 + 6ix + 6ix2 + 9i2 + 9i2x + -1x + 1x2 + x3](-2 + x) = 0

Multiply [-1 + 6ix + 6ix2 + 9i2 + 9i2x + -1x + 1x2 + x3] * (-2 + x)
[-1(-2 + x) + 6ix * (-2 + x) + 6ix2 * (-2 + x) + 9i2 * (-2 + x) + 9i2x * (-2 + x) + -1x * (-2 + x) + 1x2 * (-2 + x) + x3(-2 + x)] = 0
[(-2 * -1 + x * -1) + 6ix * (-2 + x) + 6ix2 * (-2 + x) + 9i2 * (-2 + x) + 9i2x * (-2 + x) + -1x * (-2 + x) + 1x2 * (-2 + x) + x3(-2 + x)] = 0
[(2 + -1x) + 6ix * (-2 + x) + 6ix2 * (-2 + x) + 9i2 * (-2 + x) + 9i2x * (-2 + x) + -1x * (-2 + x) + 1x2 * (-2 + x) + x3(-2 + x)] = 0
[2 + -1x + (-2 * 6ix + x * 6ix) + 6ix2 * (-2 + x) + 9i2 * (-2 + x) + 9i2x * (-2 + x) + -1x * (-2 + x) + 1x2 * (-2 + x) + x3(-2 + x)] = 0
[2 + -1x + (-12ix + 6ix2) + 6ix2 * (-2 + x) + 9i2 * (-2 + x) + 9i2x * (-2 + x) + -1x * (-2 + x) + 1x2 * (-2 + x) + x3(-2 + x)] = 0
[2 + -1x + -12ix + 6ix2 + (-2 * 6ix2 + x * 6ix2) + 9i2 * (-2 + x) + 9i2x * (-2 + x) + -1x * (-2 + x) + 1x2 * (-2 + x) + x3(-2 + x)] = 0
[2 + -1x + -12ix + 6ix2 + (-12ix2 + 6ix3) + 9i2 * (-2 + x) + 9i2x * (-2 + x) + -1x * (-2 + x) + 1x2 * (-2 + x) + x3(-2 + x)] = 0
[2 + -1x + -12ix + 6ix2 + -12ix2 + 6ix3 + (-2 * 9i2 + x * 9i2) + 9i2x * (-2 + x) + -1x * (-2 + x) + 1x2 * (-2 + x) + x3(-2 + x)] = 0
[2 + -1x + -12ix + 6ix2 + -12ix2 + 6ix3 + (-18i2 + 9i2x) + 9i2x * (-2 + x) + -1x * (-2 + x) + 1x2 * (-2 + x) + x3(-2 + x)] = 0
[2 + -1x + -12ix + 6ix2 + -12ix2 + 6ix3 + -18i2 + 9i2x + (-2 * 9i2x + x * 9i2x) + -1x * (-2 + x) + 1x2 * (-2 + x) + x3(-2 + x)] = 0
[2 + -1x + -12ix + 6ix2 + -12ix2 + 6ix3 + -18i2 + 9i2x + (-18i2x + 9i2x2) + -1x * (-2 + x) + 1x2 * (-2 + x) + x3(-2 + x)] = 0
[2 + -1x + -12ix + 6ix2 + -12ix2 + 6ix3 + -18i2 + 9i2x + -18i2x + 9i2x2 + (-2 * -1x + x * -1x) + 1x2 * (-2 + x) + x3(-2 + x)] = 0
[2 + -1x + -12ix + 6ix2 + -12ix2 + 6ix3 + -18i2 + 9i2x + -18i2x + 9i2x2 + (2x + -1x2) + 1x2 * (-2 + x) + x3(-2 + x)] = 0
[2 + -1x + -12ix + 6ix2 + -12ix2 + 6ix3 + -18i2 + 9i2x + -18i2x + 9i2x2 + 2x + -1x2 + (-2 * 1x2 + x * 1x2) + x3(-2 + x)] = 0
[2 + -1x + -12ix + 6ix2 + -12ix2 + 6ix3 + -18i2 + 9i2x + -18i2x + 9i2x2 + 2x + -1x2 + (-2x2 + 1x3) + x3(-2 + x)] = 0
[2 + -1x + -12ix + 6ix2 + -12ix2 + 6ix3 + -18i2 + 9i2x + -18i2x + 9i2x2 + 2x + -1x2 + -2x2 + 1x3 + (-2 * x3 + x * x3)] = 0
[2 + -1x + -12ix + 6ix2 + -12ix2 + 6ix3 + -18i2 + 9i2x + -18i2x + 9i2x2 + 2x + -1x2 + -2x2 + 1x3 + (-2x3 + x4)] = 0

Reorder the terms:
[2 + -12ix + 6ix2 + -12ix2 + 6ix3 + -18i2 + 9i2x + -18i2x + 9i2x2 + -1x + 2x + -1x2 + -2x2 + 1x3 + -2x3 + x4] = 0

Combine like terms: 6ix2 + -12ix2 = -6ix2
[2 + -12ix + -6ix2 + 6ix3 + -18i2 + 9i2x + -18i2x + 9i2x2 + -1x + 2x + -1x2 + -2x2 + 1x3 + -2x3 + x4] = 0

Combine like terms: 9i2x + -18i2x = -9i2x
[2 + -12ix + -6ix2 + 6ix3 + -18i2 + -9i2x + 9i2x2 + -1x + 2x + -1x2 + -2x2 + 1x3 + -2x3 + x4] = 0

Combine like terms: -1x + 2x = 1x
[2 + -12ix + -6ix2 + 6ix3 + -18i2 + -9i2x + 9i2x2 + 1x + -1x2 + -2x2 + 1x3 + -2x3 + x4] = 0

Combine like terms: -1x2 + -2x2 = -3x2
[2 + -12ix + -6ix2 + 6ix3 + -18i2 + -9i2x + 9i2x2 + 1x + -3x2 + 1x3 + -2x3 + x4] = 0

Combine like terms: 1x3 + -2x3 = -1x3
[2 + -12ix + -6ix2 + 6ix3 + -18i2 + -9i2x + 9i2x2 + 1x + -3x2 + -1x3 + x4] = 0

Solving
2 + -12ix + -6ix2 + 6ix3 + -18i2 + -9i2x + 9i2x2 + 1x + -3x2 + -1x3 + x4 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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