(x-3)(x-(2-6i))(x+(2-6i))=0

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Solution for (x-3)(x-(2-6i))(x+(2-6i))=0 equation: 


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

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

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

Remove parenthesis around (2 + -6i)
(-3 + x)(-2 + 6i + x)(x + 2 + -6i) = 0

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

Multiply (-3 + x) * (-2 + 6i + x)
(-3(-2 + 6i + x) + x(-2 + 6i + x))(2 + -6i + x) = 0
((-2 * -3 + 6i * -3 + x * -3) + x(-2 + 6i + x))(2 + -6i + x) = 0
((6 + -18i + -3x) + x(-2 + 6i + x))(2 + -6i + x) = 0
(6 + -18i + -3x + (-2 * x + 6i * x + x * x))(2 + -6i + x) = 0

Reorder the terms:
(6 + -18i + -3x + (6ix + -2x + x2))(2 + -6i + x) = 0
(6 + -18i + -3x + (6ix + -2x + x2))(2 + -6i + x) = 0

Reorder the terms:
(6 + -18i + 6ix + -3x + -2x + x2)(2 + -6i + x) = 0

Combine like terms: -3x + -2x = -5x
(6 + -18i + 6ix + -5x + x2)(2 + -6i + x) = 0

Multiply (6 + -18i + 6ix + -5x + x2) * (2 + -6i + x)
(6(2 + -6i + x) + -18i * (2 + -6i + x) + 6ix * (2 + -6i + x) + -5x * (2 + -6i + x) + x2(2 + -6i + x)) = 0
((2 * 6 + -6i * 6 + x * 6) + -18i * (2 + -6i + x) + 6ix * (2 + -6i + x) + -5x * (2 + -6i + x) + x2(2 + -6i + x)) = 0
((12 + -36i + 6x) + -18i * (2 + -6i + x) + 6ix * (2 + -6i + x) + -5x * (2 + -6i + x) + x2(2 + -6i + x)) = 0
(12 + -36i + 6x + (2 * -18i + -6i * -18i + x * -18i) + 6ix * (2 + -6i + x) + -5x * (2 + -6i + x) + x2(2 + -6i + x)) = 0

Reorder the terms:
(12 + -36i + 6x + (-36i + -18ix + 108i2) + 6ix * (2 + -6i + x) + -5x * (2 + -6i + x) + x2(2 + -6i + x)) = 0
(12 + -36i + 6x + (-36i + -18ix + 108i2) + 6ix * (2 + -6i + x) + -5x * (2 + -6i + x) + x2(2 + -6i + x)) = 0
(12 + -36i + 6x + -36i + -18ix + 108i2 + (2 * 6ix + -6i * 6ix + x * 6ix) + -5x * (2 + -6i + x) + x2(2 + -6i + x)) = 0

Reorder the terms:
(12 + -36i + 6x + -36i + -18ix + 108i2 + (12ix + 6ix2 + -36i2x) + -5x * (2 + -6i + x) + x2(2 + -6i + x)) = 0
(12 + -36i + 6x + -36i + -18ix + 108i2 + (12ix + 6ix2 + -36i2x) + -5x * (2 + -6i + x) + x2(2 + -6i + x)) = 0
(12 + -36i + 6x + -36i + -18ix + 108i2 + 12ix + 6ix2 + -36i2x + (2 * -5x + -6i * -5x + x * -5x) + x2(2 + -6i + x)) = 0

Reorder the terms:
(12 + -36i + 6x + -36i + -18ix + 108i2 + 12ix + 6ix2 + -36i2x + (30ix + -10x + -5x2) + x2(2 + -6i + x)) = 0
(12 + -36i + 6x + -36i + -18ix + 108i2 + 12ix + 6ix2 + -36i2x + (30ix + -10x + -5x2) + x2(2 + -6i + x)) = 0
(12 + -36i + 6x + -36i + -18ix + 108i2 + 12ix + 6ix2 + -36i2x + 30ix + -10x + -5x2 + (2 * x2 + -6i * x2 + x * x2)) = 0

Reorder the terms:
(12 + -36i + 6x + -36i + -18ix + 108i2 + 12ix + 6ix2 + -36i2x + 30ix + -10x + -5x2 + (-6ix2 + 2x2 + x3)) = 0
(12 + -36i + 6x + -36i + -18ix + 108i2 + 12ix + 6ix2 + -36i2x + 30ix + -10x + -5x2 + (-6ix2 + 2x2 + x3)) = 0

Reorder the terms:
(12 + -36i + -36i + -18ix + 12ix + 30ix + 6ix2 + -6ix2 + 108i2 + -36i2x + 6x + -10x + -5x2 + 2x2 + x3) = 0

Combine like terms: -36i + -36i = -72i
(12 + -72i + -18ix + 12ix + 30ix + 6ix2 + -6ix2 + 108i2 + -36i2x + 6x + -10x + -5x2 + 2x2 + x3) = 0

Combine like terms: -18ix + 12ix = -6ix
(12 + -72i + -6ix + 30ix + 6ix2 + -6ix2 + 108i2 + -36i2x + 6x + -10x + -5x2 + 2x2 + x3) = 0

Combine like terms: -6ix + 30ix = 24ix
(12 + -72i + 24ix + 6ix2 + -6ix2 + 108i2 + -36i2x + 6x + -10x + -5x2 + 2x2 + x3) = 0

Combine like terms: 6ix2 + -6ix2 = 0
(12 + -72i + 24ix + 0 + 108i2 + -36i2x + 6x + -10x + -5x2 + 2x2 + x3) = 0
(12 + -72i + 24ix + 108i2 + -36i2x + 6x + -10x + -5x2 + 2x2 + x3) = 0

Combine like terms: 6x + -10x = -4x
(12 + -72i + 24ix + 108i2 + -36i2x + -4x + -5x2 + 2x2 + x3) = 0

Combine like terms: -5x2 + 2x2 = -3x2
(12 + -72i + 24ix + 108i2 + -36i2x + -4x + -3x2 + x3) = 0

Solving
12 + -72i + 24ix + 108i2 + -36i2x + -4x + -3x2 + x3 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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