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

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


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

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

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

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

Multiply (3 + x) * (-2 + -1i + x)
(3(-2 + -1i + x) + x(-2 + -1i + x))(2 + i + x) = 0
((-2 * 3 + -1i * 3 + x * 3) + x(-2 + -1i + x))(2 + i + x) = 0
((-6 + -3i + 3x) + x(-2 + -1i + x))(2 + i + x) = 0
(-6 + -3i + 3x + (-2 * x + -1i * x + x * x))(2 + i + x) = 0

Reorder the terms:
(-6 + -3i + 3x + (-1ix + -2x + x2))(2 + i + x) = 0
(-6 + -3i + 3x + (-1ix + -2x + x2))(2 + i + x) = 0

Reorder the terms:
(-6 + -3i + -1ix + 3x + -2x + x2)(2 + i + x) = 0

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

Multiply (-6 + -3i + -1ix + 1x + x2) * (2 + i + x)
(-6(2 + i + x) + -3i * (2 + i + x) + -1ix * (2 + i + x) + 1x * (2 + i + x) + x2(2 + i + x)) = 0
((2 * -6 + i * -6 + x * -6) + -3i * (2 + i + x) + -1ix * (2 + i + x) + 1x * (2 + i + x) + x2(2 + i + x)) = 0
((-12 + -6i + -6x) + -3i * (2 + i + x) + -1ix * (2 + i + x) + 1x * (2 + i + x) + x2(2 + i + x)) = 0
(-12 + -6i + -6x + (2 * -3i + i * -3i + x * -3i) + -1ix * (2 + i + x) + 1x * (2 + i + x) + x2(2 + i + x)) = 0

Reorder the terms:
(-12 + -6i + -6x + (-6i + -3ix + -3i2) + -1ix * (2 + i + x) + 1x * (2 + i + x) + x2(2 + i + x)) = 0
(-12 + -6i + -6x + (-6i + -3ix + -3i2) + -1ix * (2 + i + x) + 1x * (2 + i + x) + x2(2 + i + x)) = 0
(-12 + -6i + -6x + -6i + -3ix + -3i2 + (2 * -1ix + i * -1ix + x * -1ix) + 1x * (2 + i + x) + x2(2 + i + x)) = 0

Reorder the terms:
(-12 + -6i + -6x + -6i + -3ix + -3i2 + (-2ix + -1ix2 + -1i2x) + 1x * (2 + i + x) + x2(2 + i + x)) = 0
(-12 + -6i + -6x + -6i + -3ix + -3i2 + (-2ix + -1ix2 + -1i2x) + 1x * (2 + i + x) + x2(2 + i + x)) = 0
(-12 + -6i + -6x + -6i + -3ix + -3i2 + -2ix + -1ix2 + -1i2x + (2 * 1x + i * 1x + x * 1x) + x2(2 + i + x)) = 0

Reorder the terms:
(-12 + -6i + -6x + -6i + -3ix + -3i2 + -2ix + -1ix2 + -1i2x + (1ix + 2x + 1x2) + x2(2 + i + x)) = 0
(-12 + -6i + -6x + -6i + -3ix + -3i2 + -2ix + -1ix2 + -1i2x + (1ix + 2x + 1x2) + x2(2 + i + x)) = 0
(-12 + -6i + -6x + -6i + -3ix + -3i2 + -2ix + -1ix2 + -1i2x + 1ix + 2x + 1x2 + (2 * x2 + i * x2 + x * x2)) = 0

Reorder the terms:
(-12 + -6i + -6x + -6i + -3ix + -3i2 + -2ix + -1ix2 + -1i2x + 1ix + 2x + 1x2 + (ix2 + 2x2 + x3)) = 0
(-12 + -6i + -6x + -6i + -3ix + -3i2 + -2ix + -1ix2 + -1i2x + 1ix + 2x + 1x2 + (ix2 + 2x2 + x3)) = 0

Reorder the terms:
(-12 + -6i + -6i + -3ix + -2ix + 1ix + -1ix2 + ix2 + -3i2 + -1i2x + -6x + 2x + 1x2 + 2x2 + x3) = 0

Combine like terms: -6i + -6i = -12i
(-12 + -12i + -3ix + -2ix + 1ix + -1ix2 + ix2 + -3i2 + -1i2x + -6x + 2x + 1x2 + 2x2 + x3) = 0

Combine like terms: -3ix + -2ix = -5ix
(-12 + -12i + -5ix + 1ix + -1ix2 + ix2 + -3i2 + -1i2x + -6x + 2x + 1x2 + 2x2 + x3) = 0

Combine like terms: -5ix + 1ix = -4ix
(-12 + -12i + -4ix + -1ix2 + ix2 + -3i2 + -1i2x + -6x + 2x + 1x2 + 2x2 + x3) = 0

Combine like terms: -1ix2 + ix2 = 0
(-12 + -12i + -4ix + 0 + -3i2 + -1i2x + -6x + 2x + 1x2 + 2x2 + x3) = 0
(-12 + -12i + -4ix + -3i2 + -1i2x + -6x + 2x + 1x2 + 2x2 + x3) = 0

Combine like terms: -6x + 2x = -4x
(-12 + -12i + -4ix + -3i2 + -1i2x + -4x + 1x2 + 2x2 + x3) = 0

Combine like terms: 1x2 + 2x2 = 3x2
(-12 + -12i + -4ix + -3i2 + -1i2x + -4x + 3x2 + x3) = 0

Solving
-12 + -12i + -4ix + -3i2 + -1i2x + -4x + 3x2 + x3 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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