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

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Solution for (x-1+3i)(x-5i)(x-2)(x+5i)(x+1+3i)=0 equation:

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

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

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

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

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

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

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

Reorder the terms:
(5i + -1x + (3ix + -15i²) + x(-5i + x))(-2 + x)(5i + x)(1 + 3i + x) = 0
(5i + -1x + (3ix + -15i²) + x(-5i + x))(-2 + x)(5i + x)(1 + 3i + x) = 0
(5i + -1x + 3ix + -15i² + (-5i * x + x * x))(-2 + x)(5i + x)(1 + 3i + x) = 0
(5i + -1x + 3ix + -15i² + (-5ix + x²))(-2 + x)(5i + x)(1 + 3i + x) = 0

Reorder the terms:
(5i + 3ix + -5ix + -15i² + -1x + x²)(-2 + x)(5i + x)(1 + 3i + x) = 0

Combine like terms: 3ix + -5ix = -2ix
(5i + -2ix + -15i² + -1x + x²)(-2 + x)(5i + x)(1 + 3i + x) = 0

Multiply (5i + -2ix + -15i² + -1x + x²) * (-2 + x)
(5i * (-2 + x) + -2ix * (-2 + x) + -15i² * (-2 + x) + -1x * (-2 + x) + x²(-2 + x))(5i + x)(1 + 3i + x) = 0
((-2 * 5i + x * 5i) + -2ix * (-2 + x) + -15i² * (-2 + x) + -1x * (-2 + x) + x²(-2 + x))(5i + x)(1 + 3i + x) = 0
((-10i + 5ix) + -2ix * (-2 + x) + -15i² * (-2 + x) + -1x * (-2 + x) + x²(-2 + x))(5i + x)(1 + 3i + x) = 0
(-10i + 5ix + (-2 * -2ix + x * -2ix) + -15i² * (-2 + x) + -1x * (-2 + x) + x²(-2 + x))(5i + x)(1 + 3i + x) = 0
(-10i + 5ix + (4ix + -2ix²) + -15i² * (-2 + x) + -1x * (-2 + x) + x²(-2 + x))(5i + x)(1 + 3i + x) = 0
(-10i + 5ix + 4ix + -2ix² + (-2 * -15i² + x * -15i²) + -1x * (-2 + x) + x²(-2 + x))(5i + x)(1 + 3i + x) = 0
(-10i + 5ix + 4ix + -2ix² + (30i² + -15i²x) + -1x * (-2 + x) + x²(-2 + x))(5i + x)(1 + 3i + x) = 0
(-10i + 5ix + 4ix + -2ix² + 30i² + -15i²x + (-2 * -1x + x * -1x) + x²(-2 + x))(5i + x)(1 + 3i + x) = 0
(-10i + 5ix + 4ix + -2ix² + 30i² + -15i²x + (2x + -1x²) + x²(-2 + x))(5i + x)(1 + 3i + x) = 0
(-10i + 5ix + 4ix + -2ix² + 30i² + -15i²x + 2x + -1x² + (-2 * x² + x * x²))(5i + x)(1 + 3i + x) = 0
(-10i + 5ix + 4ix + -2ix² + 30i² + -15i²x + 2x + -1x² + (-2x² + x³))(5i + x)(1 + 3i + x) = 0

Combine like terms: 5ix + 4ix = 9ix
(-10i + 9ix + -2ix² + 30i² + -15i²x + 2x + -1x² + -2x² + x³)(5i + x)(1 + 3i + x) = 0

Combine like terms: -1x² + -2x² = -3x²
(-10i + 9ix + -2ix² + 30i² + -15i²x + 2x + -3x² + x³)(5i + x)(1 + 3i + x) = 0

Multiply (-10i + 9ix + -2ix² + 30i² + -15i²x + 2x + -3x² + x³) * (5i + x)
(-10i * (5i + x) + 9ix * (5i + x) + -2ix² * (5i + x) + 30i² * (5i + x) + -15i²x * (5i + x) + 2x * (5i + x) + -3x² * (5i + x) + x³(5i + x))(1 + 3i + x) = 0
((5i * -10i + x * -10i) + 9ix * (5i + x) + -2ix² * (5i + x) + 30i² * (5i + x) + -15i²x * (5i + x) + 2x * (5i + x) + -3x² * (5i + x) + x³(5i + x))(1 + 3i + x) = 0

Reorder the terms:
((-10ix + -50i²) + 9ix * (5i + x) + -2ix² * (5i + x) + 30i² * (5i + x) + -15i²x * (5i + x) + 2x * (5i + x) + -3x² * (5i + x) + x³(5i + x))(1 + 3i + x) = 0
((-10ix + -50i²) + 9ix * (5i + x) + -2ix² * (5i + x) + 30i² * (5i + x) + -15i²x * (5i + x) + 2x * (5i + x) + -3x² * (5i + x) + x³(5i + x))(1 + 3i + x) = 0
(-10ix + -50i² + (5i * 9ix + x * 9ix) + -2ix² * (5i + x) + 30i² * (5i + x) + -15i²x * (5i + x) + 2x * (5i + x) + -3x² * (5i + x) + x³(5i + x))(1 + 3i + x) = 0

Reorder the terms:
(-10ix + -50i² + (9ix² + 45i²x) + -2ix² * (5i + x) + 30i² * (5i + x) + -15i²x * (5i + x) + 2x * (5i + x) + -3x² * (5i + x) + x³(5i + x))(1 + 3i + x) = 0
(-10ix + -50i² + (9ix² + 45i²x) + -2ix² * (5i + x) + 30i² * (5i + x) + -15i²x * (5i + x) + 2x * (5i + x) + -3x² * (5i + x) + x³(5i + x))(1 + 3i + x) = 0
(-10ix + -50i² + 9ix² + 45i²x + (5i * -2ix² + x * -2ix²) + 30i² * (5i + x) + -15i²x * (5i + x) + 2x * (5i + x) + -3x² * (5i + x) + x³(5i + x))(1 + 3i + x) = 0

Reorder the terms:
(-10ix + -50i² + 9ix² + 45i²x + (-2ix³ + -10i²x²) + 30i² * (5i + x) + -15i²x * (5i + x) + 2x * (5i + x) + -3x² * (5i + x) + x³(5i + x))(1 + 3i + x) = 0
(-10ix + -50i² + 9ix² + 45i²x + (-2ix³ + -10i²x²) + 30i² * (5i + x) + -15i²x * (5i + x) + 2x * (5i + x) + -3x² * (5i + x) + x³(5i + x))(1 + 3i + x) = 0
(-10ix + -50i² + 9ix² + 45i²x + -2ix³ + -10i²x² + (5i * 30i² + x * 30i²) + -15i²x * (5i + x) + 2x * (5i + x) + -3x² * (5i + x) + x³(5i + x))(1 + 3i + x) = 0

Reorder the terms:
(-10ix + -50i² + 9ix² + 45i²x + -2ix³ + -10i²x² + (30i²x + 150i³) + -15i²x * (5i + x) + 2x * (5i + x) + -3x² * (5i + x) + x³(5i + x))(1 + 3i + x) = 0
(-10ix + -50i² + 9ix² + 45i²x + -2ix³ + -10i²x² + (30i²x + 150i³) + -15i²x * (5i + x) + 2x * (5i + x) + -3x² * (5i + x) + x³(5i + x))(1 + 3i + x) = 0
(-10ix + -50i² + 9ix² + 45i²x + -2ix³ + -10i²x² + 30i²x + 150i³ + (5i * -15i²x + x * -15i²x) + 2x * (5i + x) + -3x² * (5i + x) + x³(5i + x))(1 + 3i + x) = 0

Reorder the terms:
(-10ix + -50i² + 9ix² + 45i²x + -2ix³ + -10i²x² + 30i²x + 150i³ + (-15i²x² + -75i³x) + 2x * (5i + x) + -3x² * (5i + x) + x³(5i + x))(1 + 3i + x) = 0
(-10ix + -50i² + 9ix² + 45i²x + -2ix³ + -10i²x² + 30i²x + 150i³ + (-15i²x² + -75i³x) + 2x * (5i + x) + -3x² * (5i + x) + x³(5i + x))(1 + 3i + x) = 0
(-10ix + -50i² + 9ix² + 45i²x + -2ix³ + -10i²x² + 30i²x + 150i³ + -15i²x² + -75i³x + (5i * 2x + x * 2x) + -3x² * (5i + x) + x³(5i + x))(1 + 3i + x) = 0
(-10ix + -50i² + 9ix² + 45i²x + -2ix³ + -10i²x² + 30i²x + 150i³ + -15i²x² + -75i³x + (10ix + 2x²) + -3x² * (5i + x) + x³(5i + x))(1 + 3i + x) = 0
(-10ix + -50i² + 9ix² + 45i²x + -2ix³ + -10i²x² + 30i²x + 150i³ + -15i²x² + -75i³x + 10ix + 2x² + (5i * -3x² + x * -3x²) + x³(5i + x))(1 + 3i + x) = 0
(-10ix + -50i² + 9ix² + 45i²x + -2ix³ + -10i²x² + 30i²x + 150i³ + -15i²x² + -75i³x + 10ix + 2x² + (-15ix² + -3x³) + x³(5i + x))(1 + 3i + x) = 0
(-10ix + -50i² + 9ix² + 45i²x + -2ix³ + -10i²x² + 30i²x + 150i³ + -15i²x² + -75i³x + 10ix + 2x² + -15ix² + -3x³ + (5i * x³ + x * x³))(1 + 3i + x) = 0
(-10ix + -50i² + 9ix² + 45i²x + -2ix³ + -10i²x² + 30i²x + 150i³ + -15i²x² + -75i³x + 10ix + 2x² + -15ix² + -3x³ + (5ix³ + x⁴))(1 + 3i + x) = 0

Reorder the terms:
(-10ix + 10ix + 9ix² + -15ix² + -2ix³ + 5ix³ + -50i² + 45i²x + 30i²x + -10i²x² + -15i²x² + 150i³ + -75i³x + 2x² + -3x³ + x⁴)(1 + 3i + x) = 0

Combine like terms: -10ix + 10ix = 0
(0 + 9ix² + -15ix² + -2ix³ + 5ix³ + -50i² + 45i²x + 30i²x + -10i²x² + -15i²x² + 150i³ + -75i³x + 2x² + -3x³ + x⁴)(1 + 3i + x) = 0
(9ix² + -15ix² + -2ix³ + 5ix³ + -50i² + 45i²x + 30i²x + -10i²x² + -15i²x² + 150i³ + -75i³x + 2x² + -3x³ + x⁴)(1 + 3i + x) = 0

Combine like terms: 9ix² + -15ix² = -6ix²
(-6ix² + -2ix³ + 5ix³ + -50i² + 45i²x + 30i²x + -10i²x² + -15i²x² + 150i³ + -75i³x + 2x² + -3x³ + x⁴)(1 + 3i + x) = 0

Combine like terms: -2ix³ + 5ix³ = 3ix³
(-6ix² + 3ix³ + -50i² + 45i²x + 30i²x + -10i²x² + -15i²x² + 150i³ + -75i³x + 2x² + -3x³ + x⁴)(1 + 3i + x) = 0

Combine like terms: 45i²x + 30i²x = 75i²x
(-6ix² + 3ix³ + -50i² + 75i²x + -10i²x² + -15i²x² + 150i³ + -75i³x + 2x² + -3x³ + x⁴)(1 + 3i + x) = 0

Combine like terms: -10i²x² + -15i²x² = -25i²x²
(-6ix² + 3ix³ + -50i² + 75i²x + -25i²x² + 150i³ + -75i³x + 2x² + -3x³ + x⁴)(1 + 3i + x) = 0

Multiply (-6ix² + 3ix³ + -50i² + 75i²x + -25i²x² + 150i³ + -75i³x + 2x² + -3x³ + x⁴) * (1 + 3i + x)
(-6ix² * (1 + 3i + x) + 3ix³ * (1 + 3i + x) + -50i² * (1 + 3i + x) + 75i²x * (1 + 3i + x) + -25i²x² * (1 + 3i + x) + 150i³ * (1 + 3i + x) + -75i³x * (1 + 3i + x) + 2x² * (1 + 3i + x) + -3x³ * (1 + 3i + x) + x⁴(1 + 3i + x)) = 0
((1 * -6ix² + 3i * -6ix² + x * -6ix²) + 3ix³ * (1 + 3i + x) + -50i² * (1 + 3i + x) + 75i²x * (1 + 3i + x) + -25i²x² * (1 + 3i + x) + 150i³ * (1 + 3i + x) + -75i³x * (1 + 3i + x) + 2x² * (1 + 3i + x) + -3x³ * (1 + 3i + x) + x⁴(1 + 3i + x)) = 0

Reorder the terms:
((-6ix² + -6ix³ + -18i²x²) + 3ix³ * (1 + 3i + x) + -50i² * (1 + 3i + x) + 75i²x * (1 + 3i + x) + -25i²x² * (1 + 3i + x) + 150i³ * (1 + 3i + x) + -75i³x * (1 + 3i + x) + 2x² * (1 + 3i + x) + -3x³ * (1 + 3i + x) + x⁴(1 + 3i + x)) = 0
((-6ix² + -6ix³ + -18i²x²) + 3ix³ * (1 + 3i + x) + -50i² * (1 + 3i + x) + 75i²x * (1 + 3i + x) + -25i²x² * (1 + 3i + x) + 150i³ * (1 + 3i + x) + -75i³x * (1 + 3i + x) + 2x² * (1 + 3i + x) + -3x³ * (1 + 3i + x) + x⁴(1 + 3i + x)) = 0
(-6ix² + -6ix³ + -18i²x² + (1 * 3ix³ + 3i * 3ix³ + x * 3ix³) + -50i² * (1 + 3i + x) + 75i²x * (1 + 3i + x) + -25i²x² * (1 + 3i + x) + 150i³ * (1 + 3i + x) + -75i³x * (1 + 3i + x) + 2x² * (1 + 3i + x) + -3x³ * (1 + 3i + x) + x⁴(1 + 3i + x)) = 0

Reorder the terms:
(-6ix² + -6ix³ + -18i²x² + (3ix³ + 3ix⁴ + 9i²x³) + -50i² * (1 + 3i + x) + 75i²x * (1 + 3i + x) + -25i²x² * (1 + 3i + x) + 150i³ * (1 + 3i + x) + -75i³x * (1 + 3i + x) + 2x² * (1 + 3i + x) + -3x³ * (1 + 3i + x) + x⁴(1 + 3i + x)) = 0
(-6ix² + -6ix³ + -18i²x² + (3ix³ + 3ix⁴ + 9i²x³) + -50i² * (1 + 3i + x) + 75i²x * (1 + 3i + x) + -25i²x² * (1 + 3i + x) + 150i³ * (1 + 3i + x) + -75i³x * (1 + 3i + x) + 2x² * (1 + 3i + x) + -3x³ * (1 + 3i + x) + x⁴(1 + 3i + x)) = 0
(-6ix² + -6ix³ + -18i²x² + 3ix³ + 3ix⁴ + 9i²x³ + (1 * -50i² + 3i * -50i² + x * -50i²) + 75i²x * (1 + 3i + x) + -25i²x² * (1 + 3i + x) + 150i³ * (1 + 3i + x) + -75i³x * (1 + 3i + x) + 2x² * (1 + 3i + x) + -3x³ * (1 + 3i + x) + x⁴(1 + 3i + x)) = 0

Reorder the terms:
(-6ix² + -6ix³ + -18i²x² + 3ix³ + 3ix⁴ + 9i²x³ + (-50i² + -50i²x + -150i³) + 75i²x * (1 + 3i + x) + -25i²x² * (1 + 3i + x) + 150i³ * (1 + 3i + x) + -75i³x * (1 + 3i + x) + 2x² * (1 + 3i + x) + -3x³ * (1 + 3i + x) + x⁴(1 + 3i + x)) = 0
(-6ix² + -6ix³ + -18i²x² + 3ix³ + 3ix⁴ + 9i²x³ + (-50i² + -50i²x + -150i³) + 75i²x * (1 + 3i + x) + -25i²x² * (1 + 3i + x) + 150i³ * (1 + 3i + x) + -75i³x * (1 + 3i + x) + 2x² * (1 + 3i + x) + -3x³ * (1 + 3i + x) + x⁴(1 + 3i + x)) = 0
(-6ix² + -6ix³ + -18i²x² + 3ix³ + 3ix⁴ + 9i²x³ + -50i² + -50i²x + -150i³ + (1 * 75i²x + 3i * 75i²x + x * 75i²x) + -25i²x² * (1 + 3i + x) + 150i³ * (1 + 3i + x) + -75i³x * (1 + 3i + x) + 2x² * (1 + 3i + x) + -3x³ * (1 + 3i + x) + x⁴(1 + 3i + x)) = 0

Reorder the terms:
(-6ix² + -6ix³ + -18i²x² + 3ix³ + 3ix⁴ + 9i²x³ + -50i² + -50i²x + -150i³ + (75i²x + 75i²x² + 225i³x) + -25i²x² * (1 + 3i + x) + 150i³ * (1 + 3i + x) + -75i³x * (1 + 3i + x) + 2x² * (1 + 3i + x) + -3x³ * (1 + 3i + x) + x⁴(1 + 3i + x)) = 0
(-6ix² + -6ix³ + -18i²x² + 3ix³ + 3ix⁴ + 9i²x³ + -50i² + -50i²x + -150i³ + (75i²x + 75i²x² + 225i³x) + -25i²x² * (1 + 3i + x) + 150i³ * (1 + 3i + x) + -75i³x * (1 + 3i + x) + 2x² * (1 + 3i + x) + -3x³ * (1 + 3i + x) + x⁴(1 + 3i + x)) = 0
(-6ix² + -6ix³ + -18i²x² + 3ix³ + 3ix⁴ + 9i²x³ + -50i² + -50i²x + -150i³ + 75i²x + 75i²x² + 225i³x + (1 * -25i²x² + 3i * -25i²x² + x * -25i²x²) + 150i³ * (1 + 3i + x) + -75i³x * (1 + 3i + x) + 2x² * (1 + 3i + x) + -3x³ * (1 + 3i + x) + x⁴(1 + 3i + x)) = 0

Reorder the terms:
(-6ix² + -6ix³ + -18i²x² + 3ix³ + 3ix⁴ + 9i²x³ + -50i² + -50i²x + -150i³ + 75i²x + 75i²x² + 225i³x + (-25i²x² + -25i²x³ + -75i³x²) + 150i³ * (1 + 3i + x) + -75i³x * (1 + 3i + x) + 2x² * (1 + 3i + x) + -3x³ * (1 + 3i + x) + x⁴(1 + 3i + x)) = 0
(-6ix² + -6ix³ + -18i²x² + 3ix³ + 3ix⁴ + 9i²x³ + -50i² + -50i²x + -150i³ + 75i²x + 75i²x² + 225i³x + (-25i²x² + -25i²x³ + -75i³x²) + 150i³ * (1 + 3i + x) + -75i³x * (1 + 3i + x) + 2x² * (1 + 3i + x) + -3x³ * (1 + 3i + x) + x⁴(1 + 3i + x)) = 0
(-6ix² + -6ix³ + -18i²x² + 3ix³ + 3ix⁴ + 9i²x³ + -50i² + -50i²x + -150i³ + 75i²x + 75i²x² + 225i³x + -25i²x² + -25i²x³ + -75i³x² + (1 * 150i³ + 3i * 150i³ + x * 150i³) + -75i³x * (1 + 3i + x) + 2x² * (1 + 3i + x) + -3x³ * (1 + 3i + x) + x⁴(1 + 3i + x)) = 0

Reorder the terms:
(-6ix² + -6ix³ + -18i²x² + 3ix³ + 3ix⁴ + 9i²x³ + -50i² + -50i²x + -150i³ + 75i²x + 75i²x² + 225i³x + -25i²x² + -25i²x³ + -75i³x² + (150i³ + 150i³x + 450i⁴) + -75i³x * (1 + 3i + x) + 2x² * (1 + 3i + x) + -3x³ * (1 + 3i + x) + x⁴(1 + 3i + x)) = 0
(-6ix² + -6ix³ + -18i²x² + 3ix³ + 3ix⁴ + 9i²x³ + -50i² + -50i²x + -150i³ + 75i²x + 75i²x² + 225i³x + -25i²x² + -25i²x³ + -75i³x² + (150i³ + 150i³x + 450i⁴) + -75i³x * (1 + 3i + x) + 2x² * (1 + 3i + x) + -3x³ * (1 + 3i + x) + x⁴(1 + 3i + x)) = 0
(-6ix² + -6ix³ + -18i²x² + 3ix³ + 3ix⁴ + 9i²x³ + -50i² + -50i²x + -150i³ + 75i²x + 75i²x² + 225i³x + -25i²x² + -25i²x³ + -75i³x² + 150i³ + 150i³x + 450i⁴ + (1 * -75i³x + 3i * -75i³x + x * -75i³x) + 2x² * (1 + 3i + x) + -3x³ * (1 + 3i + x) + x⁴(1 + 3i + x)) = 0

Reorder the terms:
(-6ix² + -6ix³ + -18i²x² + 3ix³ + 3ix⁴ + 9i²x³ + -50i² + -50i²x + -150i³ + 75i²x + 75i²x² + 225i³x + -25i²x² + -25i²x³ + -75i³x² + 150i³ + 150i³x + 450i⁴ + (-75i³x + -75i³x² + -225i⁴x) + 2x² * (1 + 3i + x) + -3x³ * (1 + 3i + x) + x⁴(1 + 3i + x)) = 0
(-6ix² + -6ix³ + -18i²x² + 3ix³ + 3ix⁴ + 9i²x³ + -50i² + -50i²x + -150i³ + 75i²x + 75i²x² + 225i³x + -25i²x² + -25i²x³ + -75i³x² + 150i³ + 150i³x + 450i⁴ + (-75i³x + -75i³x² + -225i⁴x) + 2x² * (1 + 3i + x) + -3x³ * (1 + 3i + x) + x⁴(1 + 3i + x)) = 0
(-6ix² + -6ix³ + -18i²x² + 3ix³ + 3ix⁴ + 9i²x³ + -50i² + -50i²x + -150i³ + 75i²x + 75i²x² + 225i³x + -25i²x² + -25i²x³ + -75i³x² + 150i³ + 150i³x + 450i⁴ + -75i³x + -75i³x² + -225i⁴x + (1 * 2x² + 3i * 2x² + x * 2x²) + -3x³ * (1 + 3i + x) + x⁴(1 + 3i + x)) = 0

Reorder the terms:
(-6ix² + -6ix³ + -18i²x² + 3ix³ + 3ix⁴ + 9i²x³ + -50i² + -50i²x + -150i³ + 75i²x + 75i²x² + 225i³x + -25i²x² + -25i²x³ + -75i³x² + 150i³ + 150i³x + 450i⁴ + -75i³x + -75i³x² + -225i⁴x + (6ix² + 2x² + 2x³) + -3x³ * (1 + 3i + x) + x⁴(1 + 3i + x)) = 0
(-6ix² + -6ix³ + -18i²x² + 3ix³ + 3ix⁴ + 9i²x³ + -50i² + -50i²x + -150i³ + 75i²x + 75i²x² + 225i³x + -25i²x² + -25i²x³ + -75i³x² + 150i³ + 150i³x + 450i⁴ + -75i³x + -75i³x² + -225i⁴x + (6ix² + 2x² + 2x³) + -3x³ * (1 + 3i + x) + x⁴(1 + 3i + x)) = 0
(-6ix² + -6ix³ + -18i²x² + 3ix³ + 3ix⁴ + 9i²x³ + -50i² + -50i²x + -150i³ + 75i²x + 75i²x² + 225i³x + -25i²x² + -25i²x³ + -75i³x² + 150i³ + 150i³x + 450i⁴ + -75i³x + -75i³x² + -225i⁴x + 6ix² + 2x² + 2x³ + (1 * -3x³ + 3i * -3x³ + x * -3x³) + x⁴(1 + 3i + x)) = 0

Reorder the terms:
(-6ix² + -6ix³ + -18i²x² + 3ix³ + 3ix⁴ + 9i²x³ + -50i² + -50i²x + -150i³ + 75i²x + 75i²x² + 225i³x + -25i²x² + -25i²x³ + -75i³x² + 150i³ + 150i³x + 450i⁴ + -75i³x + -75i³x² + -225i⁴x + 6ix² + 2x² + 2x³ + (-9ix³ + -3x³ + -3x⁴) + x⁴(1 + 3i + x)) = 0
(-6ix² + -6ix³ + -18i²x² + 3ix³ + 3ix⁴ + 9i²x³ + -50i² + -50i²x + -150i³ + 75i²x + 75i²x² + 225i³x + -25i²x² + -25i²x³ + -75i³x² + 150i³ + 150i³x + 450i⁴ + -75i³x + -75i³x² + -225i⁴x + 6ix² + 2x² + 2x³ + (-9ix³ + -3x³ + -3x⁴) + x⁴(1 + 3i + x)) = 0
(-6ix² + -6ix³ + -18i²x² + 3ix³ + 3ix⁴ + 9i²x³ + -50i² + -50i²x + -150i³ + 75i²x + 75i²x² + 225i³x + -25i²x² + -25i²x³ + -75i³x² + 150i³ + 150i³x + 450i⁴ + -75i³x + -75i³x² + -225i⁴x + 6ix² + 2x² + 2x³ + -9ix³ + -3x³ + -3x⁴ + (1 * x⁴ + 3i * x⁴ + x * x⁴)) = 0

Reorder the terms:
(-6ix² + -6ix³ + -18i²x² + 3ix³ + 3ix⁴ + 9i²x³ + -50i² + -50i²x + -150i³ + 75i²x + 75i²x² + 225i³x + -25i²x² + -25i²x³ + -75i³x² + 150i³ + 150i³x + 450i⁴ + -75i³x + -75i³x² + -225i⁴x + 6ix² + 2x² + 2x³ + -9ix³ + -3x³ + -3x⁴ + (3ix⁴ + 1x⁴ + x⁵)) = 0
(-6ix² + -6ix³ + -18i²x² + 3ix³ + 3ix⁴ + 9i²x³ + -50i² + -50i²x + -150i³ + 75i²x + 75i²x² + 225i³x + -25i²x² + -25i²x³ + -75i³x² + 150i³ + 150i³x + 450i⁴ + -75i³x + -75i³x² + -225i⁴x + 6ix² + 2x² + 2x³ + -9ix³ + -3x³ + -3x⁴ + (3ix⁴ + 1x⁴ + x⁵)) = 0

Reorder the terms:
(-6ix² + 6ix² + -6ix³ + 3ix³ + -9ix³ + 3ix⁴ + 3ix⁴ + -50i² + -50i²x + 75i²x + -18i²x² + 75i²x² + -25i²x² + 9i²x³ + -25i²x³ + -150i³ + 150i³ + 225i³x + 150i³x + -75i³x + -75i³x² + -75i³x² + 450i⁴ + -225i⁴x + 2x² + 2x³ + -3x³ + -3x⁴ + 1x⁴ + x⁵) = 0

Combine like terms: -6ix² + 6ix² = 0
(0 + -6ix³ + 3ix³ + -9ix³ + 3ix⁴ + 3ix⁴ + -50i² + -50i²x + 75i²x + -18i²x² + 75i²x² + -25i²x² + 9i²x³ + -25i²x³ + -150i³ + 150i³ + 225i³x + 150i³x + -75i³x + -75i³x² + -75i³x² + 450i⁴ + -225i⁴x + 2x² + 2x³ + -3x³ + -3x⁴ + 1x⁴ + x⁵) = 0
(-6ix³ + 3ix³ + -9ix³ + 3ix⁴ + 3ix⁴ + -50i² + -50i²x + 75i²x + -18i²x² + 75i²x² + -25i²x² + 9i²x³ + -25i²x³ + -150i³ + 150i³ + 225i³x + 150i³x + -75i³x + -75i³x² + -75i³x² + 450i⁴ + -225i⁴x + 2x² + 2x³ + -3x³ + -3x⁴ + 1x⁴ + x⁵) = 0

Combine like terms: -6ix³ + 3ix³ = -3ix³
(-3ix³ + -9ix³ + 3ix⁴ + 3ix⁴ + -50i² + -50i²x + 75i²x + -18i²x² + 75i²x² + -25i²x² + 9i²x³ + -25i²x³ + -150i³ + 150i³ + 225i³x + 150i³x + -75i³x + -75i³x² + -75i³x² + 450i⁴ + -225i⁴x + 2x² + 2x³ + -3x³ + -3x⁴ + 1x⁴ + x⁵) = 0

Combine like terms: -3ix³ + -9ix³ = -12ix³
(-12ix³ + 3ix⁴ + 3ix⁴ + -50i² + -50i²x + 75i²x + -18i²x² + 75i²x² + -25i²x² + 9i²x³ + -25i²x³ + -150i³ + 150i³ + 225i³x + 150i³x + -75i³x + -75i³x² + -75i³x² + 450i⁴ + -225i⁴x + 2x² + 2x³ + -3x³ + -3x⁴ + 1x⁴ + x⁵) = 0

Combine like terms: 3ix⁴ + 3ix⁴ = 6ix⁴
(-12ix³ + 6ix⁴ + -50i² + -50i²x + 75i²x + -18i²x² + 75i²x² + -25i²x² + 9i²x³ + -25i²x³ + -150i³ + 150i³ + 225i³x + 150i³x + -75i³x + -75i³x² + -75i³x² + 450i⁴ + -225i⁴x + 2x² + 2x³ + -3x³ + -3x⁴ + 1x⁴ + x⁵) = 0

Combine like terms: -50i²x + 75i²x = 25i²x
(-12ix³ + 6ix⁴ + -50i² + 25i²x + -18i²x² + 75i²x² + -25i²x² + 9i²x³ + -25i²x³ + -150i³ + 150i³ + 225i³x + 150i³x + -75i³x + -75i³x² + -75i³x² + 450i⁴ + -225i⁴x + 2x² + 2x³ + -3x³ + -3x⁴ + 1x⁴ + x⁵) = 0

Combine like terms: -18i²x² + 75i²x² = 57i²x²
(-12ix³ + 6ix⁴ + -50i² + 25i²x + 57i²x² + -25i²x² + 9i²x³ + -25i²x³ + -150i³ + 150i³ + 225i³x + 150i³x + -75i³x + -75i³x² + -75i³x² + 450i⁴ + -225i⁴x + 2x² + 2x³ + -3x³ + -3x⁴ + 1x⁴ + x⁵) = 0

Combine like terms: 57i²x² + -25i²x² = 32i²x²
(-12ix³ + 6ix⁴ + -50i² + 25i²x + 32i²x² + 9i²x³ + -25i²x³ + -150i³ + 150i³ + 225i³x + 150i³x + -75i³x + -75i³x² + -75i³x² + 450i⁴ + -225i⁴x + 2x² + 2x³ + -3x³ + -3x⁴ + 1x⁴ + x⁵) = 0

Combine like terms: 9i²x³ + -25i²x³ = -16i²x³
(-12ix³ + 6ix⁴ + -50i² + 25i²x + 32i²x² + -16i²x³ + -150i³ + 150i³ + 225i³x + 150i³x + -75i³x + -75i³x² + -75i³x² + 450i⁴ + -225i⁴x + 2x² + 2x³ + -3x³ + -3x⁴ + 1x⁴ + x⁵) = 0

Combine like terms: -150i³ + 150i³ = 0
(-12ix³ + 6ix⁴ + -50i² + 25i²x + 32i²x² + -16i²x³ + 0 + 225i³x + 150i³x + -75i³x + -75i³x² + -75i³x² + 450i⁴ + -225i⁴x + 2x² + 2x³ + -3x³ + -3x⁴ + 1x⁴ + x⁵) = 0
(-12ix³ + 6ix⁴ + -50i² + 25i²x + 32i²x² + -16i²x³ + 225i³x + 150i³x + -75i³x + -75i³x² + -75i³x² + 450i⁴ + -225i⁴x + 2x² + 2x³ + -3x³ + -3x⁴ + 1x⁴ + x⁵) = 0

Combine like terms: 225i³x + 150i³x = 375i³x
(-12ix³ + 6ix⁴ + -50i² + 25i²x + 32i²x² + -16i²x³ + 375i³x + -75i³x + -75i³x² + -75i³x² + 450i⁴ + -225i⁴x + 2x² + 2x³ + -3x³ + -3x⁴ + 1x⁴ + x⁵) = 0

Combine like terms: 375i³x + -75i³x = 300i³x
(-12ix³ + 6ix⁴ + -50i² + 25i²x + 32i²x² + -16i²x³ + 300i³x + -75i³x² + -75i³x² + 450i⁴ + -225i⁴x + 2x² + 2x³ + -3x³ + -3x⁴ + 1x⁴ + x⁵) = 0

Combine like terms: -75i³x² + -75i³x² = -150i³x²
(-12ix³ + 6ix⁴ + -50i² + 25i²x + 32i²x² + -16i²x³ + 300i³x + -150i³x² + 450i⁴ + -225i⁴x + 2x² + 2x³ + -3x³ + -3x⁴ + 1x⁴ + x⁵) = 0

Combine like terms: 2x³ + -3x³ = -1x³
(-12ix³ + 6ix⁴ + -50i² + 25i²x + 32i²x² + -16i²x³ + 300i³x + -150i³x² + 450i⁴ + -225i⁴x + 2x² + -1x³ + -3x⁴ + 1x⁴ + x⁵) = 0

Combine like terms: -3x⁴ + 1x⁴ = -2x⁴
(-12ix³ + 6ix⁴ + -50i² + 25i²x + 32i²x² + -16i²x³ + 300i³x + -150i³x² + 450i⁴ + -225i⁴x + 2x² + -1x³ + -2x⁴ + x⁵) = 0

Solving
-12ix³ + 6ix⁴ + -50i² + 25i²x + 32i²x² + -16i²x³ + 300i³x + -150i³x² + 450i⁴ + -225i⁴x + 2x² + -1x³ + -2x⁴ + x⁵ = 0

Solving for variable 'i'.

The solution to this equation could not be determined.
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(x-1+3i)(x-5i)(x-2)(x+5i)(x+1+3i)=0

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Solution for (x-1+3i)(x-5i)(x-2)(x+5i)(x+1+3i)=0 equation:

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