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

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


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

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

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

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

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

Multiply (-3 + x) * (-3 + x)
(-3(-3 + x) + x(-3 + x))(-4i + x)(-4 + -1i + x) = 0
((-3 * -3 + x * -3) + x(-3 + x))(-4i + x)(-4 + -1i + x) = 0
((9 + -3x) + x(-3 + x))(-4i + x)(-4 + -1i + x) = 0
(9 + -3x + (-3 * x + x * x))(-4i + x)(-4 + -1i + x) = 0
(9 + -3x + (-3x + x2))(-4i + x)(-4 + -1i + x) = 0

Combine like terms: -3x + -3x = -6x
(9 + -6x + x2)(-4i + x)(-4 + -1i + x) = 0

Multiply (9 + -6x + x2) * (-4i + x)
(9(-4i + x) + -6x * (-4i + x) + x2(-4i + x))(-4 + -1i + x) = 0
((-4i * 9 + x * 9) + -6x * (-4i + x) + x2(-4i + x))(-4 + -1i + x) = 0
((-36i + 9x) + -6x * (-4i + x) + x2(-4i + x))(-4 + -1i + x) = 0
(-36i + 9x + (-4i * -6x + x * -6x) + x2(-4i + x))(-4 + -1i + x) = 0
(-36i + 9x + (24ix + -6x2) + x2(-4i + x))(-4 + -1i + x) = 0
(-36i + 9x + 24ix + -6x2 + (-4i * x2 + x * x2))(-4 + -1i + x) = 0
(-36i + 9x + 24ix + -6x2 + (-4ix2 + x3))(-4 + -1i + x) = 0

Reorder the terms:
(-36i + 24ix + -4ix2 + 9x + -6x2 + x3)(-4 + -1i + x) = 0
(-36i + 24ix + -4ix2 + 9x + -6x2 + x3)(-4 + -1i + x) = 0

Multiply (-36i + 24ix + -4ix2 + 9x + -6x2 + x3) * (-4 + -1i + x)
(-36i * (-4 + -1i + x) + 24ix * (-4 + -1i + x) + -4ix2 * (-4 + -1i + x) + 9x * (-4 + -1i + x) + -6x2 * (-4 + -1i + x) + x3(-4 + -1i + x)) = 0
((-4 * -36i + -1i * -36i + x * -36i) + 24ix * (-4 + -1i + x) + -4ix2 * (-4 + -1i + x) + 9x * (-4 + -1i + x) + -6x2 * (-4 + -1i + x) + x3(-4 + -1i + x)) = 0

Reorder the terms:
((144i + -36ix + 36i2) + 24ix * (-4 + -1i + x) + -4ix2 * (-4 + -1i + x) + 9x * (-4 + -1i + x) + -6x2 * (-4 + -1i + x) + x3(-4 + -1i + x)) = 0
((144i + -36ix + 36i2) + 24ix * (-4 + -1i + x) + -4ix2 * (-4 + -1i + x) + 9x * (-4 + -1i + x) + -6x2 * (-4 + -1i + x) + x3(-4 + -1i + x)) = 0
(144i + -36ix + 36i2 + (-4 * 24ix + -1i * 24ix + x * 24ix) + -4ix2 * (-4 + -1i + x) + 9x * (-4 + -1i + x) + -6x2 * (-4 + -1i + x) + x3(-4 + -1i + x)) = 0

Reorder the terms:
(144i + -36ix + 36i2 + (-96ix + 24ix2 + -24i2x) + -4ix2 * (-4 + -1i + x) + 9x * (-4 + -1i + x) + -6x2 * (-4 + -1i + x) + x3(-4 + -1i + x)) = 0
(144i + -36ix + 36i2 + (-96ix + 24ix2 + -24i2x) + -4ix2 * (-4 + -1i + x) + 9x * (-4 + -1i + x) + -6x2 * (-4 + -1i + x) + x3(-4 + -1i + x)) = 0
(144i + -36ix + 36i2 + -96ix + 24ix2 + -24i2x + (-4 * -4ix2 + -1i * -4ix2 + x * -4ix2) + 9x * (-4 + -1i + x) + -6x2 * (-4 + -1i + x) + x3(-4 + -1i + x)) = 0

Reorder the terms:
(144i + -36ix + 36i2 + -96ix + 24ix2 + -24i2x + (16ix2 + -4ix3 + 4i2x2) + 9x * (-4 + -1i + x) + -6x2 * (-4 + -1i + x) + x3(-4 + -1i + x)) = 0
(144i + -36ix + 36i2 + -96ix + 24ix2 + -24i2x + (16ix2 + -4ix3 + 4i2x2) + 9x * (-4 + -1i + x) + -6x2 * (-4 + -1i + x) + x3(-4 + -1i + x)) = 0
(144i + -36ix + 36i2 + -96ix + 24ix2 + -24i2x + 16ix2 + -4ix3 + 4i2x2 + (-4 * 9x + -1i * 9x + x * 9x) + -6x2 * (-4 + -1i + x) + x3(-4 + -1i + x)) = 0

Reorder the terms:
(144i + -36ix + 36i2 + -96ix + 24ix2 + -24i2x + 16ix2 + -4ix3 + 4i2x2 + (-9ix + -36x + 9x2) + -6x2 * (-4 + -1i + x) + x3(-4 + -1i + x)) = 0
(144i + -36ix + 36i2 + -96ix + 24ix2 + -24i2x + 16ix2 + -4ix3 + 4i2x2 + (-9ix + -36x + 9x2) + -6x2 * (-4 + -1i + x) + x3(-4 + -1i + x)) = 0
(144i + -36ix + 36i2 + -96ix + 24ix2 + -24i2x + 16ix2 + -4ix3 + 4i2x2 + -9ix + -36x + 9x2 + (-4 * -6x2 + -1i * -6x2 + x * -6x2) + x3(-4 + -1i + x)) = 0

Reorder the terms:
(144i + -36ix + 36i2 + -96ix + 24ix2 + -24i2x + 16ix2 + -4ix3 + 4i2x2 + -9ix + -36x + 9x2 + (6ix2 + 24x2 + -6x3) + x3(-4 + -1i + x)) = 0
(144i + -36ix + 36i2 + -96ix + 24ix2 + -24i2x + 16ix2 + -4ix3 + 4i2x2 + -9ix + -36x + 9x2 + (6ix2 + 24x2 + -6x3) + x3(-4 + -1i + x)) = 0
(144i + -36ix + 36i2 + -96ix + 24ix2 + -24i2x + 16ix2 + -4ix3 + 4i2x2 + -9ix + -36x + 9x2 + 6ix2 + 24x2 + -6x3 + (-4 * x3 + -1i * x3 + x * x3)) = 0

Reorder the terms:
(144i + -36ix + 36i2 + -96ix + 24ix2 + -24i2x + 16ix2 + -4ix3 + 4i2x2 + -9ix + -36x + 9x2 + 6ix2 + 24x2 + -6x3 + (-1ix3 + -4x3 + x4)) = 0
(144i + -36ix + 36i2 + -96ix + 24ix2 + -24i2x + 16ix2 + -4ix3 + 4i2x2 + -9ix + -36x + 9x2 + 6ix2 + 24x2 + -6x3 + (-1ix3 + -4x3 + x4)) = 0

Reorder the terms:
(144i + -36ix + -96ix + -9ix + 24ix2 + 16ix2 + 6ix2 + -4ix3 + -1ix3 + 36i2 + -24i2x + 4i2x2 + -36x + 9x2 + 24x2 + -6x3 + -4x3 + x4) = 0

Combine like terms: -36ix + -96ix = -132ix
(144i + -132ix + -9ix + 24ix2 + 16ix2 + 6ix2 + -4ix3 + -1ix3 + 36i2 + -24i2x + 4i2x2 + -36x + 9x2 + 24x2 + -6x3 + -4x3 + x4) = 0

Combine like terms: -132ix + -9ix = -141ix
(144i + -141ix + 24ix2 + 16ix2 + 6ix2 + -4ix3 + -1ix3 + 36i2 + -24i2x + 4i2x2 + -36x + 9x2 + 24x2 + -6x3 + -4x3 + x4) = 0

Combine like terms: 24ix2 + 16ix2 = 40ix2
(144i + -141ix + 40ix2 + 6ix2 + -4ix3 + -1ix3 + 36i2 + -24i2x + 4i2x2 + -36x + 9x2 + 24x2 + -6x3 + -4x3 + x4) = 0

Combine like terms: 40ix2 + 6ix2 = 46ix2
(144i + -141ix + 46ix2 + -4ix3 + -1ix3 + 36i2 + -24i2x + 4i2x2 + -36x + 9x2 + 24x2 + -6x3 + -4x3 + x4) = 0

Combine like terms: -4ix3 + -1ix3 = -5ix3
(144i + -141ix + 46ix2 + -5ix3 + 36i2 + -24i2x + 4i2x2 + -36x + 9x2 + 24x2 + -6x3 + -4x3 + x4) = 0

Combine like terms: 9x2 + 24x2 = 33x2
(144i + -141ix + 46ix2 + -5ix3 + 36i2 + -24i2x + 4i2x2 + -36x + 33x2 + -6x3 + -4x3 + x4) = 0

Combine like terms: -6x3 + -4x3 = -10x3
(144i + -141ix + 46ix2 + -5ix3 + 36i2 + -24i2x + 4i2x2 + -36x + 33x2 + -10x3 + x4) = 0

Solving
144i + -141ix + 46ix2 + -5ix3 + 36i2 + -24i2x + 4i2x2 + -36x + 33x2 + -10x3 + x4 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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