(x-i)(x+i)(x-(1+3i))(x-(1-3i))(x-3)=0

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


Simplifying
(x + -1i)(x + i)(x + -1(1 + 3i))(x + -1(1 + -3i))(x + -3) = 0

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

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

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

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

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

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

Reorder the terms:
((-1ix + -1i2) + x(i + x))(-1 + -3i + x)(-1 + 3i + x)(-3 + x) = 0
((-1ix + -1i2) + x(i + x))(-1 + -3i + x)(-1 + 3i + x)(-3 + x) = 0
(-1ix + -1i2 + (i * x + x * x))(-1 + -3i + x)(-1 + 3i + x)(-3 + x) = 0
(-1ix + -1i2 + (ix + x2))(-1 + -3i + x)(-1 + 3i + x)(-3 + x) = 0

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

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

Multiply (-1i2 + x2) * (-1 + -3i + x)
(-1i2 * (-1 + -3i + x) + x2(-1 + -3i + x))(-1 + 3i + x)(-3 + x) = 0
((-1 * -1i2 + -3i * -1i2 + x * -1i2) + x2(-1 + -3i + x))(-1 + 3i + x)(-3 + x) = 0

Reorder the terms:
((1i2 + -1i2x + 3i3) + x2(-1 + -3i + x))(-1 + 3i + x)(-3 + x) = 0
((1i2 + -1i2x + 3i3) + x2(-1 + -3i + x))(-1 + 3i + x)(-3 + x) = 0
(1i2 + -1i2x + 3i3 + (-1 * x2 + -3i * x2 + x * x2))(-1 + 3i + x)(-3 + x) = 0

Reorder the terms:
(1i2 + -1i2x + 3i3 + (-3ix2 + -1x2 + x3))(-1 + 3i + x)(-3 + x) = 0
(1i2 + -1i2x + 3i3 + (-3ix2 + -1x2 + x3))(-1 + 3i + x)(-3 + x) = 0

Reorder the terms:
(-3ix2 + 1i2 + -1i2x + 3i3 + -1x2 + x3)(-1 + 3i + x)(-3 + x) = 0
(-3ix2 + 1i2 + -1i2x + 3i3 + -1x2 + x3)(-1 + 3i + x)(-3 + x) = 0

Multiply (-3ix2 + 1i2 + -1i2x + 3i3 + -1x2 + x3) * (-1 + 3i + x)
(-3ix2 * (-1 + 3i + x) + 1i2 * (-1 + 3i + x) + -1i2x * (-1 + 3i + x) + 3i3 * (-1 + 3i + x) + -1x2 * (-1 + 3i + x) + x3(-1 + 3i + x))(-3 + x) = 0
((-1 * -3ix2 + 3i * -3ix2 + x * -3ix2) + 1i2 * (-1 + 3i + x) + -1i2x * (-1 + 3i + x) + 3i3 * (-1 + 3i + x) + -1x2 * (-1 + 3i + x) + x3(-1 + 3i + x))(-3 + x) = 0

Reorder the terms:
((3ix2 + -3ix3 + -9i2x2) + 1i2 * (-1 + 3i + x) + -1i2x * (-1 + 3i + x) + 3i3 * (-1 + 3i + x) + -1x2 * (-1 + 3i + x) + x3(-1 + 3i + x))(-3 + x) = 0
((3ix2 + -3ix3 + -9i2x2) + 1i2 * (-1 + 3i + x) + -1i2x * (-1 + 3i + x) + 3i3 * (-1 + 3i + x) + -1x2 * (-1 + 3i + x) + x3(-1 + 3i + x))(-3 + x) = 0
(3ix2 + -3ix3 + -9i2x2 + (-1 * 1i2 + 3i * 1i2 + x * 1i2) + -1i2x * (-1 + 3i + x) + 3i3 * (-1 + 3i + x) + -1x2 * (-1 + 3i + x) + x3(-1 + 3i + x))(-3 + x) = 0

Reorder the terms:
(3ix2 + -3ix3 + -9i2x2 + (-1i2 + 1i2x + 3i3) + -1i2x * (-1 + 3i + x) + 3i3 * (-1 + 3i + x) + -1x2 * (-1 + 3i + x) + x3(-1 + 3i + x))(-3 + x) = 0
(3ix2 + -3ix3 + -9i2x2 + (-1i2 + 1i2x + 3i3) + -1i2x * (-1 + 3i + x) + 3i3 * (-1 + 3i + x) + -1x2 * (-1 + 3i + x) + x3(-1 + 3i + x))(-3 + x) = 0
(3ix2 + -3ix3 + -9i2x2 + -1i2 + 1i2x + 3i3 + (-1 * -1i2x + 3i * -1i2x + x * -1i2x) + 3i3 * (-1 + 3i + x) + -1x2 * (-1 + 3i + x) + x3(-1 + 3i + x))(-3 + x) = 0

Reorder the terms:
(3ix2 + -3ix3 + -9i2x2 + -1i2 + 1i2x + 3i3 + (1i2x + -1i2x2 + -3i3x) + 3i3 * (-1 + 3i + x) + -1x2 * (-1 + 3i + x) + x3(-1 + 3i + x))(-3 + x) = 0
(3ix2 + -3ix3 + -9i2x2 + -1i2 + 1i2x + 3i3 + (1i2x + -1i2x2 + -3i3x) + 3i3 * (-1 + 3i + x) + -1x2 * (-1 + 3i + x) + x3(-1 + 3i + x))(-3 + x) = 0
(3ix2 + -3ix3 + -9i2x2 + -1i2 + 1i2x + 3i3 + 1i2x + -1i2x2 + -3i3x + (-1 * 3i3 + 3i * 3i3 + x * 3i3) + -1x2 * (-1 + 3i + x) + x3(-1 + 3i + x))(-3 + x) = 0

Reorder the terms:
(3ix2 + -3ix3 + -9i2x2 + -1i2 + 1i2x + 3i3 + 1i2x + -1i2x2 + -3i3x + (-3i3 + 3i3x + 9i4) + -1x2 * (-1 + 3i + x) + x3(-1 + 3i + x))(-3 + x) = 0
(3ix2 + -3ix3 + -9i2x2 + -1i2 + 1i2x + 3i3 + 1i2x + -1i2x2 + -3i3x + (-3i3 + 3i3x + 9i4) + -1x2 * (-1 + 3i + x) + x3(-1 + 3i + x))(-3 + x) = 0
(3ix2 + -3ix3 + -9i2x2 + -1i2 + 1i2x + 3i3 + 1i2x + -1i2x2 + -3i3x + -3i3 + 3i3x + 9i4 + (-1 * -1x2 + 3i * -1x2 + x * -1x2) + x3(-1 + 3i + x))(-3 + x) = 0

Reorder the terms:
(3ix2 + -3ix3 + -9i2x2 + -1i2 + 1i2x + 3i3 + 1i2x + -1i2x2 + -3i3x + -3i3 + 3i3x + 9i4 + (-3ix2 + 1x2 + -1x3) + x3(-1 + 3i + x))(-3 + x) = 0
(3ix2 + -3ix3 + -9i2x2 + -1i2 + 1i2x + 3i3 + 1i2x + -1i2x2 + -3i3x + -3i3 + 3i3x + 9i4 + (-3ix2 + 1x2 + -1x3) + x3(-1 + 3i + x))(-3 + x) = 0
(3ix2 + -3ix3 + -9i2x2 + -1i2 + 1i2x + 3i3 + 1i2x + -1i2x2 + -3i3x + -3i3 + 3i3x + 9i4 + -3ix2 + 1x2 + -1x3 + (-1 * x3 + 3i * x3 + x * x3))(-3 + x) = 0

Reorder the terms:
(3ix2 + -3ix3 + -9i2x2 + -1i2 + 1i2x + 3i3 + 1i2x + -1i2x2 + -3i3x + -3i3 + 3i3x + 9i4 + -3ix2 + 1x2 + -1x3 + (3ix3 + -1x3 + x4))(-3 + x) = 0
(3ix2 + -3ix3 + -9i2x2 + -1i2 + 1i2x + 3i3 + 1i2x + -1i2x2 + -3i3x + -3i3 + 3i3x + 9i4 + -3ix2 + 1x2 + -1x3 + (3ix3 + -1x3 + x4))(-3 + x) = 0

Reorder the terms:
(3ix2 + -3ix2 + -3ix3 + 3ix3 + -1i2 + 1i2x + 1i2x + -9i2x2 + -1i2x2 + 3i3 + -3i3 + -3i3x + 3i3x + 9i4 + 1x2 + -1x3 + -1x3 + x4)(-3 + x) = 0

Combine like terms: 3ix2 + -3ix2 = 0
(0 + -3ix3 + 3ix3 + -1i2 + 1i2x + 1i2x + -9i2x2 + -1i2x2 + 3i3 + -3i3 + -3i3x + 3i3x + 9i4 + 1x2 + -1x3 + -1x3 + x4)(-3 + x) = 0
(-3ix3 + 3ix3 + -1i2 + 1i2x + 1i2x + -9i2x2 + -1i2x2 + 3i3 + -3i3 + -3i3x + 3i3x + 9i4 + 1x2 + -1x3 + -1x3 + x4)(-3 + x) = 0

Combine like terms: -3ix3 + 3ix3 = 0
(0 + -1i2 + 1i2x + 1i2x + -9i2x2 + -1i2x2 + 3i3 + -3i3 + -3i3x + 3i3x + 9i4 + 1x2 + -1x3 + -1x3 + x4)(-3 + x) = 0
(-1i2 + 1i2x + 1i2x + -9i2x2 + -1i2x2 + 3i3 + -3i3 + -3i3x + 3i3x + 9i4 + 1x2 + -1x3 + -1x3 + x4)(-3 + x) = 0

Combine like terms: 1i2x + 1i2x = 2i2x
(-1i2 + 2i2x + -9i2x2 + -1i2x2 + 3i3 + -3i3 + -3i3x + 3i3x + 9i4 + 1x2 + -1x3 + -1x3 + x4)(-3 + x) = 0

Combine like terms: -9i2x2 + -1i2x2 = -10i2x2
(-1i2 + 2i2x + -10i2x2 + 3i3 + -3i3 + -3i3x + 3i3x + 9i4 + 1x2 + -1x3 + -1x3 + x4)(-3 + x) = 0

Combine like terms: 3i3 + -3i3 = 0
(-1i2 + 2i2x + -10i2x2 + 0 + -3i3x + 3i3x + 9i4 + 1x2 + -1x3 + -1x3 + x4)(-3 + x) = 0
(-1i2 + 2i2x + -10i2x2 + -3i3x + 3i3x + 9i4 + 1x2 + -1x3 + -1x3 + x4)(-3 + x) = 0

Combine like terms: -3i3x + 3i3x = 0
(-1i2 + 2i2x + -10i2x2 + 0 + 9i4 + 1x2 + -1x3 + -1x3 + x4)(-3 + x) = 0
(-1i2 + 2i2x + -10i2x2 + 9i4 + 1x2 + -1x3 + -1x3 + x4)(-3 + x) = 0

Combine like terms: -1x3 + -1x3 = -2x3
(-1i2 + 2i2x + -10i2x2 + 9i4 + 1x2 + -2x3 + x4)(-3 + x) = 0

Multiply (-1i2 + 2i2x + -10i2x2 + 9i4 + 1x2 + -2x3 + x4) * (-3 + x)
(-1i2 * (-3 + x) + 2i2x * (-3 + x) + -10i2x2 * (-3 + x) + 9i4 * (-3 + x) + 1x2 * (-3 + x) + -2x3 * (-3 + x) + x4(-3 + x)) = 0
((-3 * -1i2 + x * -1i2) + 2i2x * (-3 + x) + -10i2x2 * (-3 + x) + 9i4 * (-3 + x) + 1x2 * (-3 + x) + -2x3 * (-3 + x) + x4(-3 + x)) = 0
((3i2 + -1i2x) + 2i2x * (-3 + x) + -10i2x2 * (-3 + x) + 9i4 * (-3 + x) + 1x2 * (-3 + x) + -2x3 * (-3 + x) + x4(-3 + x)) = 0
(3i2 + -1i2x + (-3 * 2i2x + x * 2i2x) + -10i2x2 * (-3 + x) + 9i4 * (-3 + x) + 1x2 * (-3 + x) + -2x3 * (-3 + x) + x4(-3 + x)) = 0
(3i2 + -1i2x + (-6i2x + 2i2x2) + -10i2x2 * (-3 + x) + 9i4 * (-3 + x) + 1x2 * (-3 + x) + -2x3 * (-3 + x) + x4(-3 + x)) = 0
(3i2 + -1i2x + -6i2x + 2i2x2 + (-3 * -10i2x2 + x * -10i2x2) + 9i4 * (-3 + x) + 1x2 * (-3 + x) + -2x3 * (-3 + x) + x4(-3 + x)) = 0
(3i2 + -1i2x + -6i2x + 2i2x2 + (30i2x2 + -10i2x3) + 9i4 * (-3 + x) + 1x2 * (-3 + x) + -2x3 * (-3 + x) + x4(-3 + x)) = 0
(3i2 + -1i2x + -6i2x + 2i2x2 + 30i2x2 + -10i2x3 + (-3 * 9i4 + x * 9i4) + 1x2 * (-3 + x) + -2x3 * (-3 + x) + x4(-3 + x)) = 0
(3i2 + -1i2x + -6i2x + 2i2x2 + 30i2x2 + -10i2x3 + (-27i4 + 9i4x) + 1x2 * (-3 + x) + -2x3 * (-3 + x) + x4(-3 + x)) = 0
(3i2 + -1i2x + -6i2x + 2i2x2 + 30i2x2 + -10i2x3 + -27i4 + 9i4x + (-3 * 1x2 + x * 1x2) + -2x3 * (-3 + x) + x4(-3 + x)) = 0
(3i2 + -1i2x + -6i2x + 2i2x2 + 30i2x2 + -10i2x3 + -27i4 + 9i4x + (-3x2 + 1x3) + -2x3 * (-3 + x) + x4(-3 + x)) = 0
(3i2 + -1i2x + -6i2x + 2i2x2 + 30i2x2 + -10i2x3 + -27i4 + 9i4x + -3x2 + 1x3 + (-3 * -2x3 + x * -2x3) + x4(-3 + x)) = 0
(3i2 + -1i2x + -6i2x + 2i2x2 + 30i2x2 + -10i2x3 + -27i4 + 9i4x + -3x2 + 1x3 + (6x3 + -2x4) + x4(-3 + x)) = 0
(3i2 + -1i2x + -6i2x + 2i2x2 + 30i2x2 + -10i2x3 + -27i4 + 9i4x + -3x2 + 1x3 + 6x3 + -2x4 + (-3 * x4 + x * x4)) = 0
(3i2 + -1i2x + -6i2x + 2i2x2 + 30i2x2 + -10i2x3 + -27i4 + 9i4x + -3x2 + 1x3 + 6x3 + -2x4 + (-3x4 + x5)) = 0

Combine like terms: -1i2x + -6i2x = -7i2x
(3i2 + -7i2x + 2i2x2 + 30i2x2 + -10i2x3 + -27i4 + 9i4x + -3x2 + 1x3 + 6x3 + -2x4 + -3x4 + x5) = 0

Combine like terms: 2i2x2 + 30i2x2 = 32i2x2
(3i2 + -7i2x + 32i2x2 + -10i2x3 + -27i4 + 9i4x + -3x2 + 1x3 + 6x3 + -2x4 + -3x4 + x5) = 0

Combine like terms: 1x3 + 6x3 = 7x3
(3i2 + -7i2x + 32i2x2 + -10i2x3 + -27i4 + 9i4x + -3x2 + 7x3 + -2x4 + -3x4 + x5) = 0

Combine like terms: -2x4 + -3x4 = -5x4
(3i2 + -7i2x + 32i2x2 + -10i2x3 + -27i4 + 9i4x + -3x2 + 7x3 + -5x4 + x5) = 0

Solving
3i2 + -7i2x + 32i2x2 + -10i2x3 + -27i4 + 9i4x + -3x2 + 7x3 + -5x4 + x5 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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