(x-2)(x-(3-5i))(x+(3-5i))=0

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Solution for (x-2)(x-(3-5i))(x+(3-5i))=0 equation: 


Simplifying
(x + -2)(x + -1(3 + -5i))(x + (3 + -5i)) = 0

Reorder the terms:
(-2 + x)(x + -1(3 + -5i))(x + (3 + -5i)) = 0
(-2 + x)(x + (3 * -1 + -5i * -1))(x + (3 + -5i)) = 0
(-2 + x)(x + (-3 + 5i))(x + (3 + -5i)) = 0

Reorder the terms:
(-2 + x)(-3 + 5i + x)(x + (3 + -5i)) = 0

Remove parenthesis around (3 + -5i)
(-2 + x)(-3 + 5i + x)(x + 3 + -5i) = 0

Reorder the terms:
(-2 + x)(-3 + 5i + x)(3 + -5i + x) = 0

Multiply (-2 + x) * (-3 + 5i + x)
(-2(-3 + 5i + x) + x(-3 + 5i + x))(3 + -5i + x) = 0
((-3 * -2 + 5i * -2 + x * -2) + x(-3 + 5i + x))(3 + -5i + x) = 0
((6 + -10i + -2x) + x(-3 + 5i + x))(3 + -5i + x) = 0
(6 + -10i + -2x + (-3 * x + 5i * x + x * x))(3 + -5i + x) = 0

Reorder the terms:
(6 + -10i + -2x + (5ix + -3x + x2))(3 + -5i + x) = 0
(6 + -10i + -2x + (5ix + -3x + x2))(3 + -5i + x) = 0

Reorder the terms:
(6 + -10i + 5ix + -2x + -3x + x2)(3 + -5i + x) = 0

Combine like terms: -2x + -3x = -5x
(6 + -10i + 5ix + -5x + x2)(3 + -5i + x) = 0

Multiply (6 + -10i + 5ix + -5x + x2) * (3 + -5i + x)
(6(3 + -5i + x) + -10i * (3 + -5i + x) + 5ix * (3 + -5i + x) + -5x * (3 + -5i + x) + x2(3 + -5i + x)) = 0
((3 * 6 + -5i * 6 + x * 6) + -10i * (3 + -5i + x) + 5ix * (3 + -5i + x) + -5x * (3 + -5i + x) + x2(3 + -5i + x)) = 0
((18 + -30i + 6x) + -10i * (3 + -5i + x) + 5ix * (3 + -5i + x) + -5x * (3 + -5i + x) + x2(3 + -5i + x)) = 0
(18 + -30i + 6x + (3 * -10i + -5i * -10i + x * -10i) + 5ix * (3 + -5i + x) + -5x * (3 + -5i + x) + x2(3 + -5i + x)) = 0

Reorder the terms:
(18 + -30i + 6x + (-30i + -10ix + 50i2) + 5ix * (3 + -5i + x) + -5x * (3 + -5i + x) + x2(3 + -5i + x)) = 0
(18 + -30i + 6x + (-30i + -10ix + 50i2) + 5ix * (3 + -5i + x) + -5x * (3 + -5i + x) + x2(3 + -5i + x)) = 0
(18 + -30i + 6x + -30i + -10ix + 50i2 + (3 * 5ix + -5i * 5ix + x * 5ix) + -5x * (3 + -5i + x) + x2(3 + -5i + x)) = 0

Reorder the terms:
(18 + -30i + 6x + -30i + -10ix + 50i2 + (15ix + 5ix2 + -25i2x) + -5x * (3 + -5i + x) + x2(3 + -5i + x)) = 0
(18 + -30i + 6x + -30i + -10ix + 50i2 + (15ix + 5ix2 + -25i2x) + -5x * (3 + -5i + x) + x2(3 + -5i + x)) = 0
(18 + -30i + 6x + -30i + -10ix + 50i2 + 15ix + 5ix2 + -25i2x + (3 * -5x + -5i * -5x + x * -5x) + x2(3 + -5i + x)) = 0

Reorder the terms:
(18 + -30i + 6x + -30i + -10ix + 50i2 + 15ix + 5ix2 + -25i2x + (25ix + -15x + -5x2) + x2(3 + -5i + x)) = 0
(18 + -30i + 6x + -30i + -10ix + 50i2 + 15ix + 5ix2 + -25i2x + (25ix + -15x + -5x2) + x2(3 + -5i + x)) = 0
(18 + -30i + 6x + -30i + -10ix + 50i2 + 15ix + 5ix2 + -25i2x + 25ix + -15x + -5x2 + (3 * x2 + -5i * x2 + x * x2)) = 0

Reorder the terms:
(18 + -30i + 6x + -30i + -10ix + 50i2 + 15ix + 5ix2 + -25i2x + 25ix + -15x + -5x2 + (-5ix2 + 3x2 + x3)) = 0
(18 + -30i + 6x + -30i + -10ix + 50i2 + 15ix + 5ix2 + -25i2x + 25ix + -15x + -5x2 + (-5ix2 + 3x2 + x3)) = 0

Reorder the terms:
(18 + -30i + -30i + -10ix + 15ix + 25ix + 5ix2 + -5ix2 + 50i2 + -25i2x + 6x + -15x + -5x2 + 3x2 + x3) = 0

Combine like terms: -30i + -30i = -60i
(18 + -60i + -10ix + 15ix + 25ix + 5ix2 + -5ix2 + 50i2 + -25i2x + 6x + -15x + -5x2 + 3x2 + x3) = 0

Combine like terms: -10ix + 15ix = 5ix
(18 + -60i + 5ix + 25ix + 5ix2 + -5ix2 + 50i2 + -25i2x + 6x + -15x + -5x2 + 3x2 + x3) = 0

Combine like terms: 5ix + 25ix = 30ix
(18 + -60i + 30ix + 5ix2 + -5ix2 + 50i2 + -25i2x + 6x + -15x + -5x2 + 3x2 + x3) = 0

Combine like terms: 5ix2 + -5ix2 = 0
(18 + -60i + 30ix + 0 + 50i2 + -25i2x + 6x + -15x + -5x2 + 3x2 + x3) = 0
(18 + -60i + 30ix + 50i2 + -25i2x + 6x + -15x + -5x2 + 3x2 + x3) = 0

Combine like terms: 6x + -15x = -9x
(18 + -60i + 30ix + 50i2 + -25i2x + -9x + -5x2 + 3x2 + x3) = 0

Combine like terms: -5x2 + 3x2 = -2x2
(18 + -60i + 30ix + 50i2 + -25i2x + -9x + -2x2 + x3) = 0

Solving
18 + -60i + 30ix + 50i2 + -25i2x + -9x + -2x2 + x3 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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