(x-3-i)(x+6)(x-3)(x+3+i)=0

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Solution for (x-3-i)(x+6)(x-3)(x+3+i)=0 equation: 


Simplifying
(x + -3 + -1i)(x + 6)(x + -3)(x + 3 + i) = 0

Reorder the terms:
(-3 + -1i + x)(x + 6)(x + -3)(x + 3 + i) = 0

Reorder the terms:
(-3 + -1i + x)(6 + x)(x + -3)(x + 3 + i) = 0

Reorder the terms:
(-3 + -1i + x)(6 + x)(-3 + x)(x + 3 + i) = 0

Reorder the terms:
(-3 + -1i + x)(6 + x)(-3 + x)(3 + i + x) = 0

Multiply (-3 + -1i + x) * (6 + x)
(-3(6 + x) + -1i * (6 + x) + x(6 + x))(-3 + x)(3 + i + x) = 0
((6 * -3 + x * -3) + -1i * (6 + x) + x(6 + x))(-3 + x)(3 + i + x) = 0
((-18 + -3x) + -1i * (6 + x) + x(6 + x))(-3 + x)(3 + i + x) = 0
(-18 + -3x + (6 * -1i + x * -1i) + x(6 + x))(-3 + x)(3 + i + x) = 0
(-18 + -3x + (-6i + -1ix) + x(6 + x))(-3 + x)(3 + i + x) = 0
(-18 + -3x + -6i + -1ix + (6 * x + x * x))(-3 + x)(3 + i + x) = 0
(-18 + -3x + -6i + -1ix + (6x + x2))(-3 + x)(3 + i + x) = 0

Reorder the terms:
(-18 + -6i + -1ix + -3x + 6x + x2)(-3 + x)(3 + i + x) = 0

Combine like terms: -3x + 6x = 3x
(-18 + -6i + -1ix + 3x + x2)(-3 + x)(3 + i + x) = 0

Multiply (-18 + -6i + -1ix + 3x + x2) * (-3 + x)
(-18(-3 + x) + -6i * (-3 + x) + -1ix * (-3 + x) + 3x * (-3 + x) + x2(-3 + x))(3 + i + x) = 0
((-3 * -18 + x * -18) + -6i * (-3 + x) + -1ix * (-3 + x) + 3x * (-3 + x) + x2(-3 + x))(3 + i + x) = 0
((54 + -18x) + -6i * (-3 + x) + -1ix * (-3 + x) + 3x * (-3 + x) + x2(-3 + x))(3 + i + x) = 0
(54 + -18x + (-3 * -6i + x * -6i) + -1ix * (-3 + x) + 3x * (-3 + x) + x2(-3 + x))(3 + i + x) = 0
(54 + -18x + (18i + -6ix) + -1ix * (-3 + x) + 3x * (-3 + x) + x2(-3 + x))(3 + i + x) = 0
(54 + -18x + 18i + -6ix + (-3 * -1ix + x * -1ix) + 3x * (-3 + x) + x2(-3 + x))(3 + i + x) = 0
(54 + -18x + 18i + -6ix + (3ix + -1ix2) + 3x * (-3 + x) + x2(-3 + x))(3 + i + x) = 0
(54 + -18x + 18i + -6ix + 3ix + -1ix2 + (-3 * 3x + x * 3x) + x2(-3 + x))(3 + i + x) = 0
(54 + -18x + 18i + -6ix + 3ix + -1ix2 + (-9x + 3x2) + x2(-3 + x))(3 + i + x) = 0
(54 + -18x + 18i + -6ix + 3ix + -1ix2 + -9x + 3x2 + (-3 * x2 + x * x2))(3 + i + x) = 0
(54 + -18x + 18i + -6ix + 3ix + -1ix2 + -9x + 3x2 + (-3x2 + x3))(3 + i + x) = 0

Reorder the terms:
(54 + 18i + -6ix + 3ix + -1ix2 + -18x + -9x + 3x2 + -3x2 + x3)(3 + i + x) = 0

Combine like terms: -6ix + 3ix = -3ix
(54 + 18i + -3ix + -1ix2 + -18x + -9x + 3x2 + -3x2 + x3)(3 + i + x) = 0

Combine like terms: -18x + -9x = -27x
(54 + 18i + -3ix + -1ix2 + -27x + 3x2 + -3x2 + x3)(3 + i + x) = 0

Combine like terms: 3x2 + -3x2 = 0
(54 + 18i + -3ix + -1ix2 + -27x + 0 + x3)(3 + i + x) = 0
(54 + 18i + -3ix + -1ix2 + -27x + x3)(3 + i + x) = 0

Multiply (54 + 18i + -3ix + -1ix2 + -27x + x3) * (3 + i + x)
(54(3 + i + x) + 18i * (3 + i + x) + -3ix * (3 + i + x) + -1ix2 * (3 + i + x) + -27x * (3 + i + x) + x3(3 + i + x)) = 0
((3 * 54 + i * 54 + x * 54) + 18i * (3 + i + x) + -3ix * (3 + i + x) + -1ix2 * (3 + i + x) + -27x * (3 + i + x) + x3(3 + i + x)) = 0
((162 + 54i + 54x) + 18i * (3 + i + x) + -3ix * (3 + i + x) + -1ix2 * (3 + i + x) + -27x * (3 + i + x) + x3(3 + i + x)) = 0
(162 + 54i + 54x + (3 * 18i + i * 18i + x * 18i) + -3ix * (3 + i + x) + -1ix2 * (3 + i + x) + -27x * (3 + i + x) + x3(3 + i + x)) = 0

Reorder the terms:
(162 + 54i + 54x + (54i + 18ix + 18i2) + -3ix * (3 + i + x) + -1ix2 * (3 + i + x) + -27x * (3 + i + x) + x3(3 + i + x)) = 0
(162 + 54i + 54x + (54i + 18ix + 18i2) + -3ix * (3 + i + x) + -1ix2 * (3 + i + x) + -27x * (3 + i + x) + x3(3 + i + x)) = 0
(162 + 54i + 54x + 54i + 18ix + 18i2 + (3 * -3ix + i * -3ix + x * -3ix) + -1ix2 * (3 + i + x) + -27x * (3 + i + x) + x3(3 + i + x)) = 0

Reorder the terms:
(162 + 54i + 54x + 54i + 18ix + 18i2 + (-9ix + -3ix2 + -3i2x) + -1ix2 * (3 + i + x) + -27x * (3 + i + x) + x3(3 + i + x)) = 0
(162 + 54i + 54x + 54i + 18ix + 18i2 + (-9ix + -3ix2 + -3i2x) + -1ix2 * (3 + i + x) + -27x * (3 + i + x) + x3(3 + i + x)) = 0
(162 + 54i + 54x + 54i + 18ix + 18i2 + -9ix + -3ix2 + -3i2x + (3 * -1ix2 + i * -1ix2 + x * -1ix2) + -27x * (3 + i + x) + x3(3 + i + x)) = 0

Reorder the terms:
(162 + 54i + 54x + 54i + 18ix + 18i2 + -9ix + -3ix2 + -3i2x + (-3ix2 + -1ix3 + -1i2x2) + -27x * (3 + i + x) + x3(3 + i + x)) = 0
(162 + 54i + 54x + 54i + 18ix + 18i2 + -9ix + -3ix2 + -3i2x + (-3ix2 + -1ix3 + -1i2x2) + -27x * (3 + i + x) + x3(3 + i + x)) = 0
(162 + 54i + 54x + 54i + 18ix + 18i2 + -9ix + -3ix2 + -3i2x + -3ix2 + -1ix3 + -1i2x2 + (3 * -27x + i * -27x + x * -27x) + x3(3 + i + x)) = 0

Reorder the terms:
(162 + 54i + 54x + 54i + 18ix + 18i2 + -9ix + -3ix2 + -3i2x + -3ix2 + -1ix3 + -1i2x2 + (-27ix + -81x + -27x2) + x3(3 + i + x)) = 0
(162 + 54i + 54x + 54i + 18ix + 18i2 + -9ix + -3ix2 + -3i2x + -3ix2 + -1ix3 + -1i2x2 + (-27ix + -81x + -27x2) + x3(3 + i + x)) = 0
(162 + 54i + 54x + 54i + 18ix + 18i2 + -9ix + -3ix2 + -3i2x + -3ix2 + -1ix3 + -1i2x2 + -27ix + -81x + -27x2 + (3 * x3 + i * x3 + x * x3)) = 0

Reorder the terms:
(162 + 54i + 54x + 54i + 18ix + 18i2 + -9ix + -3ix2 + -3i2x + -3ix2 + -1ix3 + -1i2x2 + -27ix + -81x + -27x2 + (ix3 + 3x3 + x4)) = 0
(162 + 54i + 54x + 54i + 18ix + 18i2 + -9ix + -3ix2 + -3i2x + -3ix2 + -1ix3 + -1i2x2 + -27ix + -81x + -27x2 + (ix3 + 3x3 + x4)) = 0

Reorder the terms:
(162 + 54i + 54i + 18ix + -9ix + -27ix + -3ix2 + -3ix2 + -1ix3 + ix3 + 18i2 + -3i2x + -1i2x2 + 54x + -81x + -27x2 + 3x3 + x4) = 0

Combine like terms: 54i + 54i = 108i
(162 + 108i + 18ix + -9ix + -27ix + -3ix2 + -3ix2 + -1ix3 + ix3 + 18i2 + -3i2x + -1i2x2 + 54x + -81x + -27x2 + 3x3 + x4) = 0

Combine like terms: 18ix + -9ix = 9ix
(162 + 108i + 9ix + -27ix + -3ix2 + -3ix2 + -1ix3 + ix3 + 18i2 + -3i2x + -1i2x2 + 54x + -81x + -27x2 + 3x3 + x4) = 0

Combine like terms: 9ix + -27ix = -18ix
(162 + 108i + -18ix + -3ix2 + -3ix2 + -1ix3 + ix3 + 18i2 + -3i2x + -1i2x2 + 54x + -81x + -27x2 + 3x3 + x4) = 0

Combine like terms: -3ix2 + -3ix2 = -6ix2
(162 + 108i + -18ix + -6ix2 + -1ix3 + ix3 + 18i2 + -3i2x + -1i2x2 + 54x + -81x + -27x2 + 3x3 + x4) = 0

Combine like terms: -1ix3 + ix3 = 0
(162 + 108i + -18ix + -6ix2 + 0 + 18i2 + -3i2x + -1i2x2 + 54x + -81x + -27x2 + 3x3 + x4) = 0
(162 + 108i + -18ix + -6ix2 + 18i2 + -3i2x + -1i2x2 + 54x + -81x + -27x2 + 3x3 + x4) = 0

Combine like terms: 54x + -81x = -27x
(162 + 108i + -18ix + -6ix2 + 18i2 + -3i2x + -1i2x2 + -27x + -27x2 + 3x3 + x4) = 0

Solving
162 + 108i + -18ix + -6ix2 + 18i2 + -3i2x + -1i2x2 + -27x + -27x2 + 3x3 + x4 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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