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

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


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

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

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

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

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

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

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

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

Multiply (-10 + -10i + 5ix + 3x + x2) * (-5 + 5i + x)
(-10(-5 + 5i + x) + -10i * (-5 + 5i + x) + 5ix * (-5 + 5i + x) + 3x * (-5 + 5i + x) + x2(-5 + 5i + x)) = 0
((-5 * -10 + 5i * -10 + x * -10) + -10i * (-5 + 5i + x) + 5ix * (-5 + 5i + x) + 3x * (-5 + 5i + x) + x2(-5 + 5i + x)) = 0
((50 + -50i + -10x) + -10i * (-5 + 5i + x) + 5ix * (-5 + 5i + x) + 3x * (-5 + 5i + x) + x2(-5 + 5i + x)) = 0
(50 + -50i + -10x + (-5 * -10i + 5i * -10i + x * -10i) + 5ix * (-5 + 5i + x) + 3x * (-5 + 5i + x) + x2(-5 + 5i + x)) = 0

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

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

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

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

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

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

Combine like terms: -10ix + -25ix = -35ix
(50 + -35ix + 15ix + 5ix2 + 5ix2 + -50i2 + 25i2x + -10x + -15x + 3x2 + -5x2 + x3) = 0

Combine like terms: -35ix + 15ix = -20ix
(50 + -20ix + 5ix2 + 5ix2 + -50i2 + 25i2x + -10x + -15x + 3x2 + -5x2 + x3) = 0

Combine like terms: 5ix2 + 5ix2 = 10ix2
(50 + -20ix + 10ix2 + -50i2 + 25i2x + -10x + -15x + 3x2 + -5x2 + x3) = 0

Combine like terms: -10x + -15x = -25x
(50 + -20ix + 10ix2 + -50i2 + 25i2x + -25x + 3x2 + -5x2 + x3) = 0

Combine like terms: 3x2 + -5x2 = -2x2
(50 + -20ix + 10ix2 + -50i2 + 25i2x + -25x + -2x2 + x3) = 0

Solving
50 + -20ix + 10ix2 + -50i2 + 25i2x + -25x + -2x2 + x3 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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