(x+2)(x-6+2i)(x-6+2i)=0

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Solution for (x+2)(x-6+2i)(x-6+2i)=0 equation: 


Simplifying
(x + 2)(x + -6 + 2i)(x + -6 + 2i) = 0

Reorder the terms:
(2 + x)(x + -6 + 2i)(x + -6 + 2i) = 0

Reorder the terms:
(2 + x)(-6 + 2i + x)(x + -6 + 2i) = 0

Reorder the terms:
(2 + x)(-6 + 2i + x)(-6 + 2i + x) = 0

Multiply (2 + x) * (-6 + 2i + x)
(2(-6 + 2i + x) + x(-6 + 2i + x))(-6 + 2i + x) = 0
((-6 * 2 + 2i * 2 + x * 2) + x(-6 + 2i + x))(-6 + 2i + x) = 0
((-12 + 4i + 2x) + x(-6 + 2i + x))(-6 + 2i + x) = 0
(-12 + 4i + 2x + (-6 * x + 2i * x + x * x))(-6 + 2i + x) = 0

Reorder the terms:
(-12 + 4i + 2x + (2ix + -6x + x2))(-6 + 2i + x) = 0
(-12 + 4i + 2x + (2ix + -6x + x2))(-6 + 2i + x) = 0

Reorder the terms:
(-12 + 4i + 2ix + 2x + -6x + x2)(-6 + 2i + x) = 0

Combine like terms: 2x + -6x = -4x
(-12 + 4i + 2ix + -4x + x2)(-6 + 2i + x) = 0

Multiply (-12 + 4i + 2ix + -4x + x2) * (-6 + 2i + x)
(-12(-6 + 2i + x) + 4i * (-6 + 2i + x) + 2ix * (-6 + 2i + x) + -4x * (-6 + 2i + x) + x2(-6 + 2i + x)) = 0
((-6 * -12 + 2i * -12 + x * -12) + 4i * (-6 + 2i + x) + 2ix * (-6 + 2i + x) + -4x * (-6 + 2i + x) + x2(-6 + 2i + x)) = 0
((72 + -24i + -12x) + 4i * (-6 + 2i + x) + 2ix * (-6 + 2i + x) + -4x * (-6 + 2i + x) + x2(-6 + 2i + x)) = 0
(72 + -24i + -12x + (-6 * 4i + 2i * 4i + x * 4i) + 2ix * (-6 + 2i + x) + -4x * (-6 + 2i + x) + x2(-6 + 2i + x)) = 0

Reorder the terms:
(72 + -24i + -12x + (-24i + 4ix + 8i2) + 2ix * (-6 + 2i + x) + -4x * (-6 + 2i + x) + x2(-6 + 2i + x)) = 0
(72 + -24i + -12x + (-24i + 4ix + 8i2) + 2ix * (-6 + 2i + x) + -4x * (-6 + 2i + x) + x2(-6 + 2i + x)) = 0
(72 + -24i + -12x + -24i + 4ix + 8i2 + (-6 * 2ix + 2i * 2ix + x * 2ix) + -4x * (-6 + 2i + x) + x2(-6 + 2i + x)) = 0

Reorder the terms:
(72 + -24i + -12x + -24i + 4ix + 8i2 + (-12ix + 2ix2 + 4i2x) + -4x * (-6 + 2i + x) + x2(-6 + 2i + x)) = 0
(72 + -24i + -12x + -24i + 4ix + 8i2 + (-12ix + 2ix2 + 4i2x) + -4x * (-6 + 2i + x) + x2(-6 + 2i + x)) = 0
(72 + -24i + -12x + -24i + 4ix + 8i2 + -12ix + 2ix2 + 4i2x + (-6 * -4x + 2i * -4x + x * -4x) + x2(-6 + 2i + x)) = 0

Reorder the terms:
(72 + -24i + -12x + -24i + 4ix + 8i2 + -12ix + 2ix2 + 4i2x + (-8ix + 24x + -4x2) + x2(-6 + 2i + x)) = 0
(72 + -24i + -12x + -24i + 4ix + 8i2 + -12ix + 2ix2 + 4i2x + (-8ix + 24x + -4x2) + x2(-6 + 2i + x)) = 0
(72 + -24i + -12x + -24i + 4ix + 8i2 + -12ix + 2ix2 + 4i2x + -8ix + 24x + -4x2 + (-6 * x2 + 2i * x2 + x * x2)) = 0

Reorder the terms:
(72 + -24i + -12x + -24i + 4ix + 8i2 + -12ix + 2ix2 + 4i2x + -8ix + 24x + -4x2 + (2ix2 + -6x2 + x3)) = 0
(72 + -24i + -12x + -24i + 4ix + 8i2 + -12ix + 2ix2 + 4i2x + -8ix + 24x + -4x2 + (2ix2 + -6x2 + x3)) = 0

Reorder the terms:
(72 + -24i + -24i + 4ix + -12ix + -8ix + 2ix2 + 2ix2 + 8i2 + 4i2x + -12x + 24x + -4x2 + -6x2 + x3) = 0

Combine like terms: -24i + -24i = -48i
(72 + -48i + 4ix + -12ix + -8ix + 2ix2 + 2ix2 + 8i2 + 4i2x + -12x + 24x + -4x2 + -6x2 + x3) = 0

Combine like terms: 4ix + -12ix = -8ix
(72 + -48i + -8ix + -8ix + 2ix2 + 2ix2 + 8i2 + 4i2x + -12x + 24x + -4x2 + -6x2 + x3) = 0

Combine like terms: -8ix + -8ix = -16ix
(72 + -48i + -16ix + 2ix2 + 2ix2 + 8i2 + 4i2x + -12x + 24x + -4x2 + -6x2 + x3) = 0

Combine like terms: 2ix2 + 2ix2 = 4ix2
(72 + -48i + -16ix + 4ix2 + 8i2 + 4i2x + -12x + 24x + -4x2 + -6x2 + x3) = 0

Combine like terms: -12x + 24x = 12x
(72 + -48i + -16ix + 4ix2 + 8i2 + 4i2x + 12x + -4x2 + -6x2 + x3) = 0

Combine like terms: -4x2 + -6x2 = -10x2
(72 + -48i + -16ix + 4ix2 + 8i2 + 4i2x + 12x + -10x2 + x3) = 0

Solving
72 + -48i + -16ix + 4ix2 + 8i2 + 4i2x + 12x + -10x2 + x3 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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