(x-5)(x+3)(x-1+3i)(x-1+3i)=0

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Solution for (x-5)(x+3)(x-1+3i)(x-1+3i)=0 equation: 


Simplifying
(x + -5)(x + 3)(x + -1 + 3i)(x + -1 + 3i) = 0

Reorder the terms:
(-5 + x)(x + 3)(x + -1 + 3i)(x + -1 + 3i) = 0

Reorder the terms:
(-5 + x)(3 + x)(x + -1 + 3i)(x + -1 + 3i) = 0

Reorder the terms:
(-5 + x)(3 + x)(-1 + 3i + x)(x + -1 + 3i) = 0

Reorder the terms:
(-5 + x)(3 + x)(-1 + 3i + x)(-1 + 3i + x) = 0

Multiply (-5 + x) * (3 + x)
(-5(3 + x) + x(3 + x))(-1 + 3i + x)(-1 + 3i + x) = 0
((3 * -5 + x * -5) + x(3 + x))(-1 + 3i + x)(-1 + 3i + x) = 0
((-15 + -5x) + x(3 + x))(-1 + 3i + x)(-1 + 3i + x) = 0
(-15 + -5x + (3 * x + x * x))(-1 + 3i + x)(-1 + 3i + x) = 0
(-15 + -5x + (3x + x2))(-1 + 3i + x)(-1 + 3i + x) = 0

Combine like terms: -5x + 3x = -2x
(-15 + -2x + x2)(-1 + 3i + x)(-1 + 3i + x) = 0

Multiply (-15 + -2x + x2) * (-1 + 3i + x)
(-15(-1 + 3i + x) + -2x * (-1 + 3i + x) + x2(-1 + 3i + x))(-1 + 3i + x) = 0
((-1 * -15 + 3i * -15 + x * -15) + -2x * (-1 + 3i + x) + x2(-1 + 3i + x))(-1 + 3i + x) = 0
((15 + -45i + -15x) + -2x * (-1 + 3i + x) + x2(-1 + 3i + x))(-1 + 3i + x) = 0
(15 + -45i + -15x + (-1 * -2x + 3i * -2x + x * -2x) + x2(-1 + 3i + x))(-1 + 3i + x) = 0

Reorder the terms:
(15 + -45i + -15x + (-6ix + 2x + -2x2) + x2(-1 + 3i + x))(-1 + 3i + x) = 0
(15 + -45i + -15x + (-6ix + 2x + -2x2) + x2(-1 + 3i + x))(-1 + 3i + x) = 0
(15 + -45i + -15x + -6ix + 2x + -2x2 + (-1 * x2 + 3i * x2 + x * x2))(-1 + 3i + x) = 0

Reorder the terms:
(15 + -45i + -15x + -6ix + 2x + -2x2 + (3ix2 + -1x2 + x3))(-1 + 3i + x) = 0
(15 + -45i + -15x + -6ix + 2x + -2x2 + (3ix2 + -1x2 + x3))(-1 + 3i + x) = 0

Reorder the terms:
(15 + -45i + -6ix + 3ix2 + -15x + 2x + -2x2 + -1x2 + x3)(-1 + 3i + x) = 0

Combine like terms: -15x + 2x = -13x
(15 + -45i + -6ix + 3ix2 + -13x + -2x2 + -1x2 + x3)(-1 + 3i + x) = 0

Combine like terms: -2x2 + -1x2 = -3x2
(15 + -45i + -6ix + 3ix2 + -13x + -3x2 + x3)(-1 + 3i + x) = 0

Multiply (15 + -45i + -6ix + 3ix2 + -13x + -3x2 + x3) * (-1 + 3i + x)
(15(-1 + 3i + x) + -45i * (-1 + 3i + x) + -6ix * (-1 + 3i + x) + 3ix2 * (-1 + 3i + x) + -13x * (-1 + 3i + x) + -3x2 * (-1 + 3i + x) + x3(-1 + 3i + x)) = 0
((-1 * 15 + 3i * 15 + x * 15) + -45i * (-1 + 3i + x) + -6ix * (-1 + 3i + x) + 3ix2 * (-1 + 3i + x) + -13x * (-1 + 3i + x) + -3x2 * (-1 + 3i + x) + x3(-1 + 3i + x)) = 0
((-15 + 45i + 15x) + -45i * (-1 + 3i + x) + -6ix * (-1 + 3i + x) + 3ix2 * (-1 + 3i + x) + -13x * (-1 + 3i + x) + -3x2 * (-1 + 3i + x) + x3(-1 + 3i + x)) = 0
(-15 + 45i + 15x + (-1 * -45i + 3i * -45i + x * -45i) + -6ix * (-1 + 3i + x) + 3ix2 * (-1 + 3i + x) + -13x * (-1 + 3i + x) + -3x2 * (-1 + 3i + x) + x3(-1 + 3i + x)) = 0

Reorder the terms:
(-15 + 45i + 15x + (45i + -45ix + -135i2) + -6ix * (-1 + 3i + x) + 3ix2 * (-1 + 3i + x) + -13x * (-1 + 3i + x) + -3x2 * (-1 + 3i + x) + x3(-1 + 3i + x)) = 0
(-15 + 45i + 15x + (45i + -45ix + -135i2) + -6ix * (-1 + 3i + x) + 3ix2 * (-1 + 3i + x) + -13x * (-1 + 3i + x) + -3x2 * (-1 + 3i + x) + x3(-1 + 3i + x)) = 0
(-15 + 45i + 15x + 45i + -45ix + -135i2 + (-1 * -6ix + 3i * -6ix + x * -6ix) + 3ix2 * (-1 + 3i + x) + -13x * (-1 + 3i + x) + -3x2 * (-1 + 3i + x) + x3(-1 + 3i + x)) = 0

Reorder the terms:
(-15 + 45i + 15x + 45i + -45ix + -135i2 + (6ix + -6ix2 + -18i2x) + 3ix2 * (-1 + 3i + x) + -13x * (-1 + 3i + x) + -3x2 * (-1 + 3i + x) + x3(-1 + 3i + x)) = 0
(-15 + 45i + 15x + 45i + -45ix + -135i2 + (6ix + -6ix2 + -18i2x) + 3ix2 * (-1 + 3i + x) + -13x * (-1 + 3i + x) + -3x2 * (-1 + 3i + x) + x3(-1 + 3i + x)) = 0
(-15 + 45i + 15x + 45i + -45ix + -135i2 + 6ix + -6ix2 + -18i2x + (-1 * 3ix2 + 3i * 3ix2 + x * 3ix2) + -13x * (-1 + 3i + x) + -3x2 * (-1 + 3i + x) + x3(-1 + 3i + x)) = 0

Reorder the terms:
(-15 + 45i + 15x + 45i + -45ix + -135i2 + 6ix + -6ix2 + -18i2x + (-3ix2 + 3ix3 + 9i2x2) + -13x * (-1 + 3i + x) + -3x2 * (-1 + 3i + x) + x3(-1 + 3i + x)) = 0
(-15 + 45i + 15x + 45i + -45ix + -135i2 + 6ix + -6ix2 + -18i2x + (-3ix2 + 3ix3 + 9i2x2) + -13x * (-1 + 3i + x) + -3x2 * (-1 + 3i + x) + x3(-1 + 3i + x)) = 0
(-15 + 45i + 15x + 45i + -45ix + -135i2 + 6ix + -6ix2 + -18i2x + -3ix2 + 3ix3 + 9i2x2 + (-1 * -13x + 3i * -13x + x * -13x) + -3x2 * (-1 + 3i + x) + x3(-1 + 3i + x)) = 0

Reorder the terms:
(-15 + 45i + 15x + 45i + -45ix + -135i2 + 6ix + -6ix2 + -18i2x + -3ix2 + 3ix3 + 9i2x2 + (-39ix + 13x + -13x2) + -3x2 * (-1 + 3i + x) + x3(-1 + 3i + x)) = 0
(-15 + 45i + 15x + 45i + -45ix + -135i2 + 6ix + -6ix2 + -18i2x + -3ix2 + 3ix3 + 9i2x2 + (-39ix + 13x + -13x2) + -3x2 * (-1 + 3i + x) + x3(-1 + 3i + x)) = 0
(-15 + 45i + 15x + 45i + -45ix + -135i2 + 6ix + -6ix2 + -18i2x + -3ix2 + 3ix3 + 9i2x2 + -39ix + 13x + -13x2 + (-1 * -3x2 + 3i * -3x2 + x * -3x2) + x3(-1 + 3i + x)) = 0

Reorder the terms:
(-15 + 45i + 15x + 45i + -45ix + -135i2 + 6ix + -6ix2 + -18i2x + -3ix2 + 3ix3 + 9i2x2 + -39ix + 13x + -13x2 + (-9ix2 + 3x2 + -3x3) + x3(-1 + 3i + x)) = 0
(-15 + 45i + 15x + 45i + -45ix + -135i2 + 6ix + -6ix2 + -18i2x + -3ix2 + 3ix3 + 9i2x2 + -39ix + 13x + -13x2 + (-9ix2 + 3x2 + -3x3) + x3(-1 + 3i + x)) = 0
(-15 + 45i + 15x + 45i + -45ix + -135i2 + 6ix + -6ix2 + -18i2x + -3ix2 + 3ix3 + 9i2x2 + -39ix + 13x + -13x2 + -9ix2 + 3x2 + -3x3 + (-1 * x3 + 3i * x3 + x * x3)) = 0

Reorder the terms:
(-15 + 45i + 15x + 45i + -45ix + -135i2 + 6ix + -6ix2 + -18i2x + -3ix2 + 3ix3 + 9i2x2 + -39ix + 13x + -13x2 + -9ix2 + 3x2 + -3x3 + (3ix3 + -1x3 + x4)) = 0
(-15 + 45i + 15x + 45i + -45ix + -135i2 + 6ix + -6ix2 + -18i2x + -3ix2 + 3ix3 + 9i2x2 + -39ix + 13x + -13x2 + -9ix2 + 3x2 + -3x3 + (3ix3 + -1x3 + x4)) = 0

Reorder the terms:
(-15 + 45i + 45i + -45ix + 6ix + -39ix + -6ix2 + -3ix2 + -9ix2 + 3ix3 + 3ix3 + -135i2 + -18i2x + 9i2x2 + 15x + 13x + -13x2 + 3x2 + -3x3 + -1x3 + x4) = 0

Combine like terms: 45i + 45i = 90i
(-15 + 90i + -45ix + 6ix + -39ix + -6ix2 + -3ix2 + -9ix2 + 3ix3 + 3ix3 + -135i2 + -18i2x + 9i2x2 + 15x + 13x + -13x2 + 3x2 + -3x3 + -1x3 + x4) = 0

Combine like terms: -45ix + 6ix = -39ix
(-15 + 90i + -39ix + -39ix + -6ix2 + -3ix2 + -9ix2 + 3ix3 + 3ix3 + -135i2 + -18i2x + 9i2x2 + 15x + 13x + -13x2 + 3x2 + -3x3 + -1x3 + x4) = 0

Combine like terms: -39ix + -39ix = -78ix
(-15 + 90i + -78ix + -6ix2 + -3ix2 + -9ix2 + 3ix3 + 3ix3 + -135i2 + -18i2x + 9i2x2 + 15x + 13x + -13x2 + 3x2 + -3x3 + -1x3 + x4) = 0

Combine like terms: -6ix2 + -3ix2 = -9ix2
(-15 + 90i + -78ix + -9ix2 + -9ix2 + 3ix3 + 3ix3 + -135i2 + -18i2x + 9i2x2 + 15x + 13x + -13x2 + 3x2 + -3x3 + -1x3 + x4) = 0

Combine like terms: -9ix2 + -9ix2 = -18ix2
(-15 + 90i + -78ix + -18ix2 + 3ix3 + 3ix3 + -135i2 + -18i2x + 9i2x2 + 15x + 13x + -13x2 + 3x2 + -3x3 + -1x3 + x4) = 0

Combine like terms: 3ix3 + 3ix3 = 6ix3
(-15 + 90i + -78ix + -18ix2 + 6ix3 + -135i2 + -18i2x + 9i2x2 + 15x + 13x + -13x2 + 3x2 + -3x3 + -1x3 + x4) = 0

Combine like terms: 15x + 13x = 28x
(-15 + 90i + -78ix + -18ix2 + 6ix3 + -135i2 + -18i2x + 9i2x2 + 28x + -13x2 + 3x2 + -3x3 + -1x3 + x4) = 0

Combine like terms: -13x2 + 3x2 = -10x2
(-15 + 90i + -78ix + -18ix2 + 6ix3 + -135i2 + -18i2x + 9i2x2 + 28x + -10x2 + -3x3 + -1x3 + x4) = 0

Combine like terms: -3x3 + -1x3 = -4x3
(-15 + 90i + -78ix + -18ix2 + 6ix3 + -135i2 + -18i2x + 9i2x2 + 28x + -10x2 + -4x3 + x4) = 0

Solving
-15 + 90i + -78ix + -18ix2 + 6ix3 + -135i2 + -18i2x + 9i2x2 + 28x + -10x2 + -4x3 + x4 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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