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

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


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

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

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

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

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

Multiply (-3 + -1i + x) * (-3 + 1i + x)
(-3(-3 + 1i + x) + -1i * (-3 + 1i + x) + x(-3 + 1i + x))(2i + x)(-2i + x) = 0
((-3 * -3 + 1i * -3 + x * -3) + -1i * (-3 + 1i + x) + x(-3 + 1i + x))(2i + x)(-2i + x) = 0
((9 + -3i + -3x) + -1i * (-3 + 1i + x) + x(-3 + 1i + x))(2i + x)(-2i + x) = 0
(9 + -3i + -3x + (-3 * -1i + 1i * -1i + x * -1i) + x(-3 + 1i + x))(2i + x)(-2i + x) = 0

Reorder the terms:
(9 + -3i + -3x + (3i + -1ix + -1i2) + x(-3 + 1i + x))(2i + x)(-2i + x) = 0
(9 + -3i + -3x + (3i + -1ix + -1i2) + x(-3 + 1i + x))(2i + x)(-2i + x) = 0
(9 + -3i + -3x + 3i + -1ix + -1i2 + (-3 * x + 1i * x + x * x))(2i + x)(-2i + x) = 0

Reorder the terms:
(9 + -3i + -3x + 3i + -1ix + -1i2 + (1ix + -3x + x2))(2i + x)(-2i + x) = 0
(9 + -3i + -3x + 3i + -1ix + -1i2 + (1ix + -3x + x2))(2i + x)(-2i + x) = 0

Reorder the terms:
(9 + -3i + 3i + -1ix + 1ix + -1i2 + -3x + -3x + x2)(2i + x)(-2i + x) = 0

Combine like terms: -3i + 3i = 0
(9 + 0 + -1ix + 1ix + -1i2 + -3x + -3x + x2)(2i + x)(-2i + x) = 0
(9 + -1ix + 1ix + -1i2 + -3x + -3x + x2)(2i + x)(-2i + x) = 0

Combine like terms: -1ix + 1ix = 0
(9 + 0 + -1i2 + -3x + -3x + x2)(2i + x)(-2i + x) = 0
(9 + -1i2 + -3x + -3x + x2)(2i + x)(-2i + x) = 0

Combine like terms: -3x + -3x = -6x
(9 + -1i2 + -6x + x2)(2i + x)(-2i + x) = 0

Multiply (9 + -1i2 + -6x + x2) * (2i + x)
(9(2i + x) + -1i2 * (2i + x) + -6x * (2i + x) + x2(2i + x))(-2i + x) = 0
((2i * 9 + x * 9) + -1i2 * (2i + x) + -6x * (2i + x) + x2(2i + x))(-2i + x) = 0
((18i + 9x) + -1i2 * (2i + x) + -6x * (2i + x) + x2(2i + x))(-2i + x) = 0
(18i + 9x + (2i * -1i2 + x * -1i2) + -6x * (2i + x) + x2(2i + x))(-2i + x) = 0

Reorder the terms:
(18i + 9x + (-1i2x + -2i3) + -6x * (2i + x) + x2(2i + x))(-2i + x) = 0
(18i + 9x + (-1i2x + -2i3) + -6x * (2i + x) + x2(2i + x))(-2i + x) = 0
(18i + 9x + -1i2x + -2i3 + (2i * -6x + x * -6x) + x2(2i + x))(-2i + x) = 0
(18i + 9x + -1i2x + -2i3 + (-12ix + -6x2) + x2(2i + x))(-2i + x) = 0
(18i + 9x + -1i2x + -2i3 + -12ix + -6x2 + (2i * x2 + x * x2))(-2i + x) = 0
(18i + 9x + -1i2x + -2i3 + -12ix + -6x2 + (2ix2 + x3))(-2i + x) = 0

Reorder the terms:
(18i + -12ix + 2ix2 + -1i2x + -2i3 + 9x + -6x2 + x3)(-2i + x) = 0
(18i + -12ix + 2ix2 + -1i2x + -2i3 + 9x + -6x2 + x3)(-2i + x) = 0

Multiply (18i + -12ix + 2ix2 + -1i2x + -2i3 + 9x + -6x2 + x3) * (-2i + x)
(18i * (-2i + x) + -12ix * (-2i + x) + 2ix2 * (-2i + x) + -1i2x * (-2i + x) + -2i3 * (-2i + x) + 9x * (-2i + x) + -6x2 * (-2i + x) + x3(-2i + x)) = 0
((-2i * 18i + x * 18i) + -12ix * (-2i + x) + 2ix2 * (-2i + x) + -1i2x * (-2i + x) + -2i3 * (-2i + x) + 9x * (-2i + x) + -6x2 * (-2i + x) + x3(-2i + x)) = 0

Reorder the terms:
((18ix + -36i2) + -12ix * (-2i + x) + 2ix2 * (-2i + x) + -1i2x * (-2i + x) + -2i3 * (-2i + x) + 9x * (-2i + x) + -6x2 * (-2i + x) + x3(-2i + x)) = 0
((18ix + -36i2) + -12ix * (-2i + x) + 2ix2 * (-2i + x) + -1i2x * (-2i + x) + -2i3 * (-2i + x) + 9x * (-2i + x) + -6x2 * (-2i + x) + x3(-2i + x)) = 0
(18ix + -36i2 + (-2i * -12ix + x * -12ix) + 2ix2 * (-2i + x) + -1i2x * (-2i + x) + -2i3 * (-2i + x) + 9x * (-2i + x) + -6x2 * (-2i + x) + x3(-2i + x)) = 0

Reorder the terms:
(18ix + -36i2 + (-12ix2 + 24i2x) + 2ix2 * (-2i + x) + -1i2x * (-2i + x) + -2i3 * (-2i + x) + 9x * (-2i + x) + -6x2 * (-2i + x) + x3(-2i + x)) = 0
(18ix + -36i2 + (-12ix2 + 24i2x) + 2ix2 * (-2i + x) + -1i2x * (-2i + x) + -2i3 * (-2i + x) + 9x * (-2i + x) + -6x2 * (-2i + x) + x3(-2i + x)) = 0
(18ix + -36i2 + -12ix2 + 24i2x + (-2i * 2ix2 + x * 2ix2) + -1i2x * (-2i + x) + -2i3 * (-2i + x) + 9x * (-2i + x) + -6x2 * (-2i + x) + x3(-2i + x)) = 0

Reorder the terms:
(18ix + -36i2 + -12ix2 + 24i2x + (2ix3 + -4i2x2) + -1i2x * (-2i + x) + -2i3 * (-2i + x) + 9x * (-2i + x) + -6x2 * (-2i + x) + x3(-2i + x)) = 0
(18ix + -36i2 + -12ix2 + 24i2x + (2ix3 + -4i2x2) + -1i2x * (-2i + x) + -2i3 * (-2i + x) + 9x * (-2i + x) + -6x2 * (-2i + x) + x3(-2i + x)) = 0
(18ix + -36i2 + -12ix2 + 24i2x + 2ix3 + -4i2x2 + (-2i * -1i2x + x * -1i2x) + -2i3 * (-2i + x) + 9x * (-2i + x) + -6x2 * (-2i + x) + x3(-2i + x)) = 0

Reorder the terms:
(18ix + -36i2 + -12ix2 + 24i2x + 2ix3 + -4i2x2 + (-1i2x2 + 2i3x) + -2i3 * (-2i + x) + 9x * (-2i + x) + -6x2 * (-2i + x) + x3(-2i + x)) = 0
(18ix + -36i2 + -12ix2 + 24i2x + 2ix3 + -4i2x2 + (-1i2x2 + 2i3x) + -2i3 * (-2i + x) + 9x * (-2i + x) + -6x2 * (-2i + x) + x3(-2i + x)) = 0
(18ix + -36i2 + -12ix2 + 24i2x + 2ix3 + -4i2x2 + -1i2x2 + 2i3x + (-2i * -2i3 + x * -2i3) + 9x * (-2i + x) + -6x2 * (-2i + x) + x3(-2i + x)) = 0

Reorder the terms:
(18ix + -36i2 + -12ix2 + 24i2x + 2ix3 + -4i2x2 + -1i2x2 + 2i3x + (-2i3x + 4i4) + 9x * (-2i + x) + -6x2 * (-2i + x) + x3(-2i + x)) = 0
(18ix + -36i2 + -12ix2 + 24i2x + 2ix3 + -4i2x2 + -1i2x2 + 2i3x + (-2i3x + 4i4) + 9x * (-2i + x) + -6x2 * (-2i + x) + x3(-2i + x)) = 0
(18ix + -36i2 + -12ix2 + 24i2x + 2ix3 + -4i2x2 + -1i2x2 + 2i3x + -2i3x + 4i4 + (-2i * 9x + x * 9x) + -6x2 * (-2i + x) + x3(-2i + x)) = 0
(18ix + -36i2 + -12ix2 + 24i2x + 2ix3 + -4i2x2 + -1i2x2 + 2i3x + -2i3x + 4i4 + (-18ix + 9x2) + -6x2 * (-2i + x) + x3(-2i + x)) = 0
(18ix + -36i2 + -12ix2 + 24i2x + 2ix3 + -4i2x2 + -1i2x2 + 2i3x + -2i3x + 4i4 + -18ix + 9x2 + (-2i * -6x2 + x * -6x2) + x3(-2i + x)) = 0
(18ix + -36i2 + -12ix2 + 24i2x + 2ix3 + -4i2x2 + -1i2x2 + 2i3x + -2i3x + 4i4 + -18ix + 9x2 + (12ix2 + -6x3) + x3(-2i + x)) = 0
(18ix + -36i2 + -12ix2 + 24i2x + 2ix3 + -4i2x2 + -1i2x2 + 2i3x + -2i3x + 4i4 + -18ix + 9x2 + 12ix2 + -6x3 + (-2i * x3 + x * x3)) = 0
(18ix + -36i2 + -12ix2 + 24i2x + 2ix3 + -4i2x2 + -1i2x2 + 2i3x + -2i3x + 4i4 + -18ix + 9x2 + 12ix2 + -6x3 + (-2ix3 + x4)) = 0

Reorder the terms:
(18ix + -18ix + -12ix2 + 12ix2 + 2ix3 + -2ix3 + -36i2 + 24i2x + -4i2x2 + -1i2x2 + 2i3x + -2i3x + 4i4 + 9x2 + -6x3 + x4) = 0

Combine like terms: 18ix + -18ix = 0
(0 + -12ix2 + 12ix2 + 2ix3 + -2ix3 + -36i2 + 24i2x + -4i2x2 + -1i2x2 + 2i3x + -2i3x + 4i4 + 9x2 + -6x3 + x4) = 0
(-12ix2 + 12ix2 + 2ix3 + -2ix3 + -36i2 + 24i2x + -4i2x2 + -1i2x2 + 2i3x + -2i3x + 4i4 + 9x2 + -6x3 + x4) = 0

Combine like terms: -12ix2 + 12ix2 = 0
(0 + 2ix3 + -2ix3 + -36i2 + 24i2x + -4i2x2 + -1i2x2 + 2i3x + -2i3x + 4i4 + 9x2 + -6x3 + x4) = 0
(2ix3 + -2ix3 + -36i2 + 24i2x + -4i2x2 + -1i2x2 + 2i3x + -2i3x + 4i4 + 9x2 + -6x3 + x4) = 0

Combine like terms: 2ix3 + -2ix3 = 0
(0 + -36i2 + 24i2x + -4i2x2 + -1i2x2 + 2i3x + -2i3x + 4i4 + 9x2 + -6x3 + x4) = 0
(-36i2 + 24i2x + -4i2x2 + -1i2x2 + 2i3x + -2i3x + 4i4 + 9x2 + -6x3 + x4) = 0

Combine like terms: -4i2x2 + -1i2x2 = -5i2x2
(-36i2 + 24i2x + -5i2x2 + 2i3x + -2i3x + 4i4 + 9x2 + -6x3 + x4) = 0

Combine like terms: 2i3x + -2i3x = 0
(-36i2 + 24i2x + -5i2x2 + 0 + 4i4 + 9x2 + -6x3 + x4) = 0
(-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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