(x-2i)(x+2i)(x-(3-i))(x-(3+i))=0

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


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

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

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

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

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

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

Reorder the terms:
((-2ix + -4i2) + x(2i + x))(-3 + 1i + x)(-3 + -1i + x) = 0
((-2ix + -4i2) + x(2i + x))(-3 + 1i + x)(-3 + -1i + x) = 0
(-2ix + -4i2 + (2i * x + x * x))(-3 + 1i + x)(-3 + -1i + x) = 0
(-2ix + -4i2 + (2ix + x2))(-3 + 1i + x)(-3 + -1i + x) = 0

Reorder the terms:
(-2ix + 2ix + -4i2 + x2)(-3 + 1i + x)(-3 + -1i + x) = 0

Combine like terms: -2ix + 2ix = 0
(0 + -4i2 + x2)(-3 + 1i + x)(-3 + -1i + x) = 0
(-4i2 + x2)(-3 + 1i + x)(-3 + -1i + x) = 0

Multiply (-4i2 + x2) * (-3 + 1i + x)
(-4i2 * (-3 + 1i + x) + x2(-3 + 1i + x))(-3 + -1i + x) = 0
((-3 * -4i2 + 1i * -4i2 + x * -4i2) + x2(-3 + 1i + x))(-3 + -1i + x) = 0

Reorder the terms:
((12i2 + -4i2x + -4i3) + x2(-3 + 1i + x))(-3 + -1i + x) = 0
((12i2 + -4i2x + -4i3) + x2(-3 + 1i + x))(-3 + -1i + x) = 0
(12i2 + -4i2x + -4i3 + (-3 * x2 + 1i * x2 + x * x2))(-3 + -1i + x) = 0

Reorder the terms:
(12i2 + -4i2x + -4i3 + (1ix2 + -3x2 + x3))(-3 + -1i + x) = 0
(12i2 + -4i2x + -4i3 + (1ix2 + -3x2 + x3))(-3 + -1i + x) = 0

Reorder the terms:
(1ix2 + 12i2 + -4i2x + -4i3 + -3x2 + x3)(-3 + -1i + x) = 0
(1ix2 + 12i2 + -4i2x + -4i3 + -3x2 + x3)(-3 + -1i + x) = 0

Multiply (1ix2 + 12i2 + -4i2x + -4i3 + -3x2 + x3) * (-3 + -1i + x)
(1ix2 * (-3 + -1i + x) + 12i2 * (-3 + -1i + x) + -4i2x * (-3 + -1i + x) + -4i3 * (-3 + -1i + x) + -3x2 * (-3 + -1i + x) + x3(-3 + -1i + x)) = 0
((-3 * 1ix2 + -1i * 1ix2 + x * 1ix2) + 12i2 * (-3 + -1i + x) + -4i2x * (-3 + -1i + x) + -4i3 * (-3 + -1i + x) + -3x2 * (-3 + -1i + x) + x3(-3 + -1i + x)) = 0

Reorder the terms:
((-3ix2 + 1ix3 + -1i2x2) + 12i2 * (-3 + -1i + x) + -4i2x * (-3 + -1i + x) + -4i3 * (-3 + -1i + x) + -3x2 * (-3 + -1i + x) + x3(-3 + -1i + x)) = 0
((-3ix2 + 1ix3 + -1i2x2) + 12i2 * (-3 + -1i + x) + -4i2x * (-3 + -1i + x) + -4i3 * (-3 + -1i + x) + -3x2 * (-3 + -1i + x) + x3(-3 + -1i + x)) = 0
(-3ix2 + 1ix3 + -1i2x2 + (-3 * 12i2 + -1i * 12i2 + x * 12i2) + -4i2x * (-3 + -1i + x) + -4i3 * (-3 + -1i + x) + -3x2 * (-3 + -1i + x) + x3(-3 + -1i + x)) = 0

Reorder the terms:
(-3ix2 + 1ix3 + -1i2x2 + (-36i2 + 12i2x + -12i3) + -4i2x * (-3 + -1i + x) + -4i3 * (-3 + -1i + x) + -3x2 * (-3 + -1i + x) + x3(-3 + -1i + x)) = 0
(-3ix2 + 1ix3 + -1i2x2 + (-36i2 + 12i2x + -12i3) + -4i2x * (-3 + -1i + x) + -4i3 * (-3 + -1i + x) + -3x2 * (-3 + -1i + x) + x3(-3 + -1i + x)) = 0
(-3ix2 + 1ix3 + -1i2x2 + -36i2 + 12i2x + -12i3 + (-3 * -4i2x + -1i * -4i2x + x * -4i2x) + -4i3 * (-3 + -1i + x) + -3x2 * (-3 + -1i + x) + x3(-3 + -1i + x)) = 0

Reorder the terms:
(-3ix2 + 1ix3 + -1i2x2 + -36i2 + 12i2x + -12i3 + (12i2x + -4i2x2 + 4i3x) + -4i3 * (-3 + -1i + x) + -3x2 * (-3 + -1i + x) + x3(-3 + -1i + x)) = 0
(-3ix2 + 1ix3 + -1i2x2 + -36i2 + 12i2x + -12i3 + (12i2x + -4i2x2 + 4i3x) + -4i3 * (-3 + -1i + x) + -3x2 * (-3 + -1i + x) + x3(-3 + -1i + x)) = 0
(-3ix2 + 1ix3 + -1i2x2 + -36i2 + 12i2x + -12i3 + 12i2x + -4i2x2 + 4i3x + (-3 * -4i3 + -1i * -4i3 + x * -4i3) + -3x2 * (-3 + -1i + x) + x3(-3 + -1i + x)) = 0

Reorder the terms:
(-3ix2 + 1ix3 + -1i2x2 + -36i2 + 12i2x + -12i3 + 12i2x + -4i2x2 + 4i3x + (12i3 + -4i3x + 4i4) + -3x2 * (-3 + -1i + x) + x3(-3 + -1i + x)) = 0
(-3ix2 + 1ix3 + -1i2x2 + -36i2 + 12i2x + -12i3 + 12i2x + -4i2x2 + 4i3x + (12i3 + -4i3x + 4i4) + -3x2 * (-3 + -1i + x) + x3(-3 + -1i + x)) = 0
(-3ix2 + 1ix3 + -1i2x2 + -36i2 + 12i2x + -12i3 + 12i2x + -4i2x2 + 4i3x + 12i3 + -4i3x + 4i4 + (-3 * -3x2 + -1i * -3x2 + x * -3x2) + x3(-3 + -1i + x)) = 0

Reorder the terms:
(-3ix2 + 1ix3 + -1i2x2 + -36i2 + 12i2x + -12i3 + 12i2x + -4i2x2 + 4i3x + 12i3 + -4i3x + 4i4 + (3ix2 + 9x2 + -3x3) + x3(-3 + -1i + x)) = 0
(-3ix2 + 1ix3 + -1i2x2 + -36i2 + 12i2x + -12i3 + 12i2x + -4i2x2 + 4i3x + 12i3 + -4i3x + 4i4 + (3ix2 + 9x2 + -3x3) + x3(-3 + -1i + x)) = 0
(-3ix2 + 1ix3 + -1i2x2 + -36i2 + 12i2x + -12i3 + 12i2x + -4i2x2 + 4i3x + 12i3 + -4i3x + 4i4 + 3ix2 + 9x2 + -3x3 + (-3 * x3 + -1i * x3 + x * x3)) = 0

Reorder the terms:
(-3ix2 + 1ix3 + -1i2x2 + -36i2 + 12i2x + -12i3 + 12i2x + -4i2x2 + 4i3x + 12i3 + -4i3x + 4i4 + 3ix2 + 9x2 + -3x3 + (-1ix3 + -3x3 + x4)) = 0
(-3ix2 + 1ix3 + -1i2x2 + -36i2 + 12i2x + -12i3 + 12i2x + -4i2x2 + 4i3x + 12i3 + -4i3x + 4i4 + 3ix2 + 9x2 + -3x3 + (-1ix3 + -3x3 + x4)) = 0

Reorder the terms:
(-3ix2 + 3ix2 + 1ix3 + -1ix3 + -36i2 + 12i2x + 12i2x + -1i2x2 + -4i2x2 + -12i3 + 12i3 + 4i3x + -4i3x + 4i4 + 9x2 + -3x3 + -3x3 + x4) = 0

Combine like terms: -3ix2 + 3ix2 = 0
(0 + 1ix3 + -1ix3 + -36i2 + 12i2x + 12i2x + -1i2x2 + -4i2x2 + -12i3 + 12i3 + 4i3x + -4i3x + 4i4 + 9x2 + -3x3 + -3x3 + x4) = 0
(1ix3 + -1ix3 + -36i2 + 12i2x + 12i2x + -1i2x2 + -4i2x2 + -12i3 + 12i3 + 4i3x + -4i3x + 4i4 + 9x2 + -3x3 + -3x3 + x4) = 0

Combine like terms: 1ix3 + -1ix3 = 0
(0 + -36i2 + 12i2x + 12i2x + -1i2x2 + -4i2x2 + -12i3 + 12i3 + 4i3x + -4i3x + 4i4 + 9x2 + -3x3 + -3x3 + x4) = 0
(-36i2 + 12i2x + 12i2x + -1i2x2 + -4i2x2 + -12i3 + 12i3 + 4i3x + -4i3x + 4i4 + 9x2 + -3x3 + -3x3 + x4) = 0

Combine like terms: 12i2x + 12i2x = 24i2x
(-36i2 + 24i2x + -1i2x2 + -4i2x2 + -12i3 + 12i3 + 4i3x + -4i3x + 4i4 + 9x2 + -3x3 + -3x3 + x4) = 0

Combine like terms: -1i2x2 + -4i2x2 = -5i2x2
(-36i2 + 24i2x + -5i2x2 + -12i3 + 12i3 + 4i3x + -4i3x + 4i4 + 9x2 + -3x3 + -3x3 + x4) = 0

Combine like terms: -12i3 + 12i3 = 0
(-36i2 + 24i2x + -5i2x2 + 0 + 4i3x + -4i3x + 4i4 + 9x2 + -3x3 + -3x3 + x4) = 0
(-36i2 + 24i2x + -5i2x2 + 4i3x + -4i3x + 4i4 + 9x2 + -3x3 + -3x3 + x4) = 0

Combine like terms: 4i3x + -4i3x = 0
(-36i2 + 24i2x + -5i2x2 + 0 + 4i4 + 9x2 + -3x3 + -3x3 + x4) = 0
(-36i2 + 24i2x + -5i2x2 + 4i4 + 9x2 + -3x3 + -3x3 + x4) = 0

Combine like terms: -3x3 + -3x3 = -6x3
(-36i2 + 24i2x + -5i2x2 + 4i4 + 9x2 + -6x3 + x4) = 0

Solving
-36i2 + 24i2x + -5i2x2 + 4i4 + 9x2 + -6x3 + x4 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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