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

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


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

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

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

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

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

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

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

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

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

Multiply (4i + -4ix + 4i2 + -2x + x2) * (2 + 2i + x)
(4i * (2 + 2i + x) + -4ix * (2 + 2i + x) + 4i2 * (2 + 2i + x) + -2x * (2 + 2i + x) + x2(2 + 2i + x)) = 0
((2 * 4i + 2i * 4i + x * 4i) + -4ix * (2 + 2i + x) + 4i2 * (2 + 2i + x) + -2x * (2 + 2i + x) + x2(2 + 2i + x)) = 0

Reorder the terms:
((8i + 4ix + 8i2) + -4ix * (2 + 2i + x) + 4i2 * (2 + 2i + x) + -2x * (2 + 2i + x) + x2(2 + 2i + x)) = 0
((8i + 4ix + 8i2) + -4ix * (2 + 2i + x) + 4i2 * (2 + 2i + x) + -2x * (2 + 2i + x) + x2(2 + 2i + x)) = 0
(8i + 4ix + 8i2 + (2 * -4ix + 2i * -4ix + x * -4ix) + 4i2 * (2 + 2i + x) + -2x * (2 + 2i + x) + x2(2 + 2i + x)) = 0

Reorder the terms:
(8i + 4ix + 8i2 + (-8ix + -4ix2 + -8i2x) + 4i2 * (2 + 2i + x) + -2x * (2 + 2i + x) + x2(2 + 2i + x)) = 0
(8i + 4ix + 8i2 + (-8ix + -4ix2 + -8i2x) + 4i2 * (2 + 2i + x) + -2x * (2 + 2i + x) + x2(2 + 2i + x)) = 0
(8i + 4ix + 8i2 + -8ix + -4ix2 + -8i2x + (2 * 4i2 + 2i * 4i2 + x * 4i2) + -2x * (2 + 2i + x) + x2(2 + 2i + x)) = 0

Reorder the terms:
(8i + 4ix + 8i2 + -8ix + -4ix2 + -8i2x + (8i2 + 4i2x + 8i3) + -2x * (2 + 2i + x) + x2(2 + 2i + x)) = 0
(8i + 4ix + 8i2 + -8ix + -4ix2 + -8i2x + (8i2 + 4i2x + 8i3) + -2x * (2 + 2i + x) + x2(2 + 2i + x)) = 0
(8i + 4ix + 8i2 + -8ix + -4ix2 + -8i2x + 8i2 + 4i2x + 8i3 + (2 * -2x + 2i * -2x + x * -2x) + x2(2 + 2i + x)) = 0

Reorder the terms:
(8i + 4ix + 8i2 + -8ix + -4ix2 + -8i2x + 8i2 + 4i2x + 8i3 + (-4ix + -4x + -2x2) + x2(2 + 2i + x)) = 0
(8i + 4ix + 8i2 + -8ix + -4ix2 + -8i2x + 8i2 + 4i2x + 8i3 + (-4ix + -4x + -2x2) + x2(2 + 2i + x)) = 0
(8i + 4ix + 8i2 + -8ix + -4ix2 + -8i2x + 8i2 + 4i2x + 8i3 + -4ix + -4x + -2x2 + (2 * x2 + 2i * x2 + x * x2)) = 0

Reorder the terms:
(8i + 4ix + 8i2 + -8ix + -4ix2 + -8i2x + 8i2 + 4i2x + 8i3 + -4ix + -4x + -2x2 + (2ix2 + 2x2 + x3)) = 0
(8i + 4ix + 8i2 + -8ix + -4ix2 + -8i2x + 8i2 + 4i2x + 8i3 + -4ix + -4x + -2x2 + (2ix2 + 2x2 + x3)) = 0

Reorder the terms:
(8i + 4ix + -8ix + -4ix + -4ix2 + 2ix2 + 8i2 + 8i2 + -8i2x + 4i2x + 8i3 + -4x + -2x2 + 2x2 + x3) = 0

Combine like terms: 4ix + -8ix = -4ix
(8i + -4ix + -4ix + -4ix2 + 2ix2 + 8i2 + 8i2 + -8i2x + 4i2x + 8i3 + -4x + -2x2 + 2x2 + x3) = 0

Combine like terms: -4ix + -4ix = -8ix
(8i + -8ix + -4ix2 + 2ix2 + 8i2 + 8i2 + -8i2x + 4i2x + 8i3 + -4x + -2x2 + 2x2 + x3) = 0

Combine like terms: -4ix2 + 2ix2 = -2ix2
(8i + -8ix + -2ix2 + 8i2 + 8i2 + -8i2x + 4i2x + 8i3 + -4x + -2x2 + 2x2 + x3) = 0

Combine like terms: 8i2 + 8i2 = 16i2
(8i + -8ix + -2ix2 + 16i2 + -8i2x + 4i2x + 8i3 + -4x + -2x2 + 2x2 + x3) = 0

Combine like terms: -8i2x + 4i2x = -4i2x
(8i + -8ix + -2ix2 + 16i2 + -4i2x + 8i3 + -4x + -2x2 + 2x2 + x3) = 0

Combine like terms: -2x2 + 2x2 = 0
(8i + -8ix + -2ix2 + 16i2 + -4i2x + 8i3 + -4x + 0 + x3) = 0
(8i + -8ix + -2ix2 + 16i2 + -4i2x + 8i3 + -4x + x3) = 0

Solving
8i + -8ix + -2ix2 + 16i2 + -4i2x + 8i3 + -4x + x3 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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