(x-4)(x+1+3i)(x-1+3i)=0

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Solution for (x-4)(x+1+3i)(x-1+3i)=0 equation: 


Simplifying
(x + -4)(x + 1 + 3i)(x + -1 + 3i) = 0

Reorder the terms:
(-4 + x)(x + 1 + 3i)(x + -1 + 3i) = 0

Reorder the terms:
(-4 + x)(1 + 3i + x)(x + -1 + 3i) = 0

Reorder the terms:
(-4 + x)(1 + 3i + x)(-1 + 3i + x) = 0

Multiply (-4 + x) * (1 + 3i + x)
(-4(1 + 3i + x) + x(1 + 3i + x))(-1 + 3i + x) = 0
((1 * -4 + 3i * -4 + x * -4) + x(1 + 3i + x))(-1 + 3i + x) = 0
((-4 + -12i + -4x) + x(1 + 3i + x))(-1 + 3i + x) = 0
(-4 + -12i + -4x + (1 * x + 3i * x + x * x))(-1 + 3i + x) = 0

Reorder the terms:
(-4 + -12i + -4x + (3ix + 1x + x2))(-1 + 3i + x) = 0
(-4 + -12i + -4x + (3ix + 1x + x2))(-1 + 3i + x) = 0

Reorder the terms:
(-4 + -12i + 3ix + -4x + 1x + x2)(-1 + 3i + x) = 0

Combine like terms: -4x + 1x = -3x
(-4 + -12i + 3ix + -3x + x2)(-1 + 3i + x) = 0

Multiply (-4 + -12i + 3ix + -3x + x2) * (-1 + 3i + x)
(-4(-1 + 3i + x) + -12i * (-1 + 3i + x) + 3ix * (-1 + 3i + x) + -3x * (-1 + 3i + x) + x2(-1 + 3i + x)) = 0
((-1 * -4 + 3i * -4 + x * -4) + -12i * (-1 + 3i + x) + 3ix * (-1 + 3i + x) + -3x * (-1 + 3i + x) + x2(-1 + 3i + x)) = 0
((4 + -12i + -4x) + -12i * (-1 + 3i + x) + 3ix * (-1 + 3i + x) + -3x * (-1 + 3i + x) + x2(-1 + 3i + x)) = 0
(4 + -12i + -4x + (-1 * -12i + 3i * -12i + x * -12i) + 3ix * (-1 + 3i + x) + -3x * (-1 + 3i + x) + x2(-1 + 3i + x)) = 0

Reorder the terms:
(4 + -12i + -4x + (12i + -12ix + -36i2) + 3ix * (-1 + 3i + x) + -3x * (-1 + 3i + x) + x2(-1 + 3i + x)) = 0
(4 + -12i + -4x + (12i + -12ix + -36i2) + 3ix * (-1 + 3i + x) + -3x * (-1 + 3i + x) + x2(-1 + 3i + x)) = 0
(4 + -12i + -4x + 12i + -12ix + -36i2 + (-1 * 3ix + 3i * 3ix + x * 3ix) + -3x * (-1 + 3i + x) + x2(-1 + 3i + x)) = 0

Reorder the terms:
(4 + -12i + -4x + 12i + -12ix + -36i2 + (-3ix + 3ix2 + 9i2x) + -3x * (-1 + 3i + x) + x2(-1 + 3i + x)) = 0
(4 + -12i + -4x + 12i + -12ix + -36i2 + (-3ix + 3ix2 + 9i2x) + -3x * (-1 + 3i + x) + x2(-1 + 3i + x)) = 0
(4 + -12i + -4x + 12i + -12ix + -36i2 + -3ix + 3ix2 + 9i2x + (-1 * -3x + 3i * -3x + x * -3x) + x2(-1 + 3i + x)) = 0

Reorder the terms:
(4 + -12i + -4x + 12i + -12ix + -36i2 + -3ix + 3ix2 + 9i2x + (-9ix + 3x + -3x2) + x2(-1 + 3i + x)) = 0
(4 + -12i + -4x + 12i + -12ix + -36i2 + -3ix + 3ix2 + 9i2x + (-9ix + 3x + -3x2) + x2(-1 + 3i + x)) = 0
(4 + -12i + -4x + 12i + -12ix + -36i2 + -3ix + 3ix2 + 9i2x + -9ix + 3x + -3x2 + (-1 * x2 + 3i * x2 + x * x2)) = 0

Reorder the terms:
(4 + -12i + -4x + 12i + -12ix + -36i2 + -3ix + 3ix2 + 9i2x + -9ix + 3x + -3x2 + (3ix2 + -1x2 + x3)) = 0
(4 + -12i + -4x + 12i + -12ix + -36i2 + -3ix + 3ix2 + 9i2x + -9ix + 3x + -3x2 + (3ix2 + -1x2 + x3)) = 0

Reorder the terms:
(4 + -12i + 12i + -12ix + -3ix + -9ix + 3ix2 + 3ix2 + -36i2 + 9i2x + -4x + 3x + -3x2 + -1x2 + x3) = 0

Combine like terms: -12i + 12i = 0
(4 + 0 + -12ix + -3ix + -9ix + 3ix2 + 3ix2 + -36i2 + 9i2x + -4x + 3x + -3x2 + -1x2 + x3) = 0
(4 + -12ix + -3ix + -9ix + 3ix2 + 3ix2 + -36i2 + 9i2x + -4x + 3x + -3x2 + -1x2 + x3) = 0

Combine like terms: -12ix + -3ix = -15ix
(4 + -15ix + -9ix + 3ix2 + 3ix2 + -36i2 + 9i2x + -4x + 3x + -3x2 + -1x2 + x3) = 0

Combine like terms: -15ix + -9ix = -24ix
(4 + -24ix + 3ix2 + 3ix2 + -36i2 + 9i2x + -4x + 3x + -3x2 + -1x2 + x3) = 0

Combine like terms: 3ix2 + 3ix2 = 6ix2
(4 + -24ix + 6ix2 + -36i2 + 9i2x + -4x + 3x + -3x2 + -1x2 + x3) = 0

Combine like terms: -4x + 3x = -1x
(4 + -24ix + 6ix2 + -36i2 + 9i2x + -1x + -3x2 + -1x2 + x3) = 0

Combine like terms: -3x2 + -1x2 = -4x2
(4 + -24ix + 6ix2 + -36i2 + 9i2x + -1x + -4x2 + x3) = 0

Solving
4 + -24ix + 6ix2 + -36i2 + 9i2x + -1x + -4x2 + x3 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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