(x-(2+i))(x-(2-i))(x-(4+5i))(x-(4-5i))=0

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Solution for (x-(2+i))(x-(2-i))(x-(4+5i))(x-(4-5i))=0 equation:

Simplifying
(x + -1(2 + i))(x + -1(2 + -1i))(x + -1(4 + 5i))(x + -1(4 + -5i)) = 0
(x + (2 * -1 + i * -1))(x + -1(2 + -1i))(x + -1(4 + 5i))(x + -1(4 + -5i)) = 0
(x + (-2 + -1i))(x + -1(2 + -1i))(x + -1(4 + 5i))(x + -1(4 + -5i)) = 0

Reorder the terms:
(-2 + -1i + x)(x + -1(2 + -1i))(x + -1(4 + 5i))(x + -1(4 + -5i)) = 0
(-2 + -1i + x)(x + (2 * -1 + -1i * -1))(x + -1(4 + 5i))(x + -1(4 + -5i)) = 0
(-2 + -1i + x)(x + (-2 + 1i))(x + -1(4 + 5i))(x + -1(4 + -5i)) = 0

Reorder the terms:
(-2 + -1i + x)(-2 + 1i + x)(x + -1(4 + 5i))(x + -1(4 + -5i)) = 0
(-2 + -1i + x)(-2 + 1i + x)(x + (4 * -1 + 5i * -1))(x + -1(4 + -5i)) = 0
(-2 + -1i + x)(-2 + 1i + x)(x + (-4 + -5i))(x + -1(4 + -5i)) = 0

Reorder the terms:
(-2 + -1i + x)(-2 + 1i + x)(-4 + -5i + x)(x + -1(4 + -5i)) = 0
(-2 + -1i + x)(-2 + 1i + x)(-4 + -5i + x)(x + (4 * -1 + -5i * -1)) = 0
(-2 + -1i + x)(-2 + 1i + x)(-4 + -5i + x)(x + (-4 + 5i)) = 0

Reorder the terms:
(-2 + -1i + x)(-2 + 1i + x)(-4 + -5i + x)(-4 + 5i + x) = 0

Multiply (-2 + -1i + x) * (-2 + 1i + x)
(-2(-2 + 1i + x) + -1i * (-2 + 1i + x) + x(-2 + 1i + x))(-4 + -5i + x)(-4 + 5i + x) = 0
((-2 * -2 + 1i * -2 + x * -2) + -1i * (-2 + 1i + x) + x(-2 + 1i + x))(-4 + -5i + x)(-4 + 5i + x) = 0
((4 + -2i + -2x) + -1i * (-2 + 1i + x) + x(-2 + 1i + x))(-4 + -5i + x)(-4 + 5i + x) = 0
(4 + -2i + -2x + (-2 * -1i + 1i * -1i + x * -1i) + x(-2 + 1i + x))(-4 + -5i + x)(-4 + 5i + x) = 0

Reorder the terms:
(4 + -2i + -2x + (2i + -1ix + -1i²) + x(-2 + 1i + x))(-4 + -5i + x)(-4 + 5i + x) = 0
(4 + -2i + -2x + (2i + -1ix + -1i²) + x(-2 + 1i + x))(-4 + -5i + x)(-4 + 5i + x) = 0
(4 + -2i + -2x + 2i + -1ix + -1i² + (-2 * x + 1i * x + x * x))(-4 + -5i + x)(-4 + 5i + x) = 0

Reorder the terms:
(4 + -2i + -2x + 2i + -1ix + -1i² + (1ix + -2x + x²))(-4 + -5i + x)(-4 + 5i + x) = 0
(4 + -2i + -2x + 2i + -1ix + -1i² + (1ix + -2x + x²))(-4 + -5i + x)(-4 + 5i + x) = 0

Reorder the terms:
(4 + -2i + 2i + -1ix + 1ix + -1i² + -2x + -2x + x²)(-4 + -5i + x)(-4 + 5i + x) = 0

Combine like terms: -2i + 2i = 0
(4 + 0 + -1ix + 1ix + -1i² + -2x + -2x + x²)(-4 + -5i + x)(-4 + 5i + x) = 0
(4 + -1ix + 1ix + -1i² + -2x + -2x + x²)(-4 + -5i + x)(-4 + 5i + x) = 0

Combine like terms: -1ix + 1ix = 0
(4 + 0 + -1i² + -2x + -2x + x²)(-4 + -5i + x)(-4 + 5i + x) = 0
(4 + -1i² + -2x + -2x + x²)(-4 + -5i + x)(-4 + 5i + x) = 0

Combine like terms: -2x + -2x = -4x
(4 + -1i² + -4x + x²)(-4 + -5i + x)(-4 + 5i + x) = 0

Multiply (4 + -1i² + -4x + x²) * (-4 + -5i + x)
(4(-4 + -5i + x) + -1i² * (-4 + -5i + x) + -4x * (-4 + -5i + x) + x²(-4 + -5i + x))(-4 + 5i + x) = 0
((-4 * 4 + -5i * 4 + x * 4) + -1i² * (-4 + -5i + x) + -4x * (-4 + -5i + x) + x²(-4 + -5i + x))(-4 + 5i + x) = 0
((-16 + -20i + 4x) + -1i² * (-4 + -5i + x) + -4x * (-4 + -5i + x) + x²(-4 + -5i + x))(-4 + 5i + x) = 0
(-16 + -20i + 4x + (-4 * -1i² + -5i * -1i² + x * -1i²) + -4x * (-4 + -5i + x) + x²(-4 + -5i + x))(-4 + 5i + x) = 0

Reorder the terms:
(-16 + -20i + 4x + (4i² + -1i²x + 5i³) + -4x * (-4 + -5i + x) + x²(-4 + -5i + x))(-4 + 5i + x) = 0
(-16 + -20i + 4x + (4i² + -1i²x + 5i³) + -4x * (-4 + -5i + x) + x²(-4 + -5i + x))(-4 + 5i + x) = 0
(-16 + -20i + 4x + 4i² + -1i²x + 5i³ + (-4 * -4x + -5i * -4x + x * -4x) + x²(-4 + -5i + x))(-4 + 5i + x) = 0

Reorder the terms:
(-16 + -20i + 4x + 4i² + -1i²x + 5i³ + (20ix + 16x + -4x²) + x²(-4 + -5i + x))(-4 + 5i + x) = 0
(-16 + -20i + 4x + 4i² + -1i²x + 5i³ + (20ix + 16x + -4x²) + x²(-4 + -5i + x))(-4 + 5i + x) = 0
(-16 + -20i + 4x + 4i² + -1i²x + 5i³ + 20ix + 16x + -4x² + (-4 * x² + -5i * x² + x * x²))(-4 + 5i + x) = 0

Reorder the terms:
(-16 + -20i + 4x + 4i² + -1i²x + 5i³ + 20ix + 16x + -4x² + (-5ix² + -4x² + x³))(-4 + 5i + x) = 0
(-16 + -20i + 4x + 4i² + -1i²x + 5i³ + 20ix + 16x + -4x² + (-5ix² + -4x² + x³))(-4 + 5i + x) = 0

Reorder the terms:
(-16 + -20i + 20ix + -5ix² + 4i² + -1i²x + 5i³ + 4x + 16x + -4x² + -4x² + x³)(-4 + 5i + x) = 0

Combine like terms: 4x + 16x = 20x
(-16 + -20i + 20ix + -5ix² + 4i² + -1i²x + 5i³ + 20x + -4x² + -4x² + x³)(-4 + 5i + x) = 0

Combine like terms: -4x² + -4x² = -8x²
(-16 + -20i + 20ix + -5ix² + 4i² + -1i²x + 5i³ + 20x + -8x² + x³)(-4 + 5i + x) = 0

Multiply (-16 + -20i + 20ix + -5ix² + 4i² + -1i²x + 5i³ + 20x + -8x² + x³) * (-4 + 5i + x)
(-16(-4 + 5i + x) + -20i * (-4 + 5i + x) + 20ix * (-4 + 5i + x) + -5ix² * (-4 + 5i + x) + 4i² * (-4 + 5i + x) + -1i²x * (-4 + 5i + x) + 5i³ * (-4 + 5i + x) + 20x * (-4 + 5i + x) + -8x² * (-4 + 5i + x) + x³(-4 + 5i + x)) = 0
((-4 * -16 + 5i * -16 + x * -16) + -20i * (-4 + 5i + x) + 20ix * (-4 + 5i + x) + -5ix² * (-4 + 5i + x) + 4i² * (-4 + 5i + x) + -1i²x * (-4 + 5i + x) + 5i³ * (-4 + 5i + x) + 20x * (-4 + 5i + x) + -8x² * (-4 + 5i + x) + x³(-4 + 5i + x)) = 0
((64 + -80i + -16x) + -20i * (-4 + 5i + x) + 20ix * (-4 + 5i + x) + -5ix² * (-4 + 5i + x) + 4i² * (-4 + 5i + x) + -1i²x * (-4 + 5i + x) + 5i³ * (-4 + 5i + x) + 20x * (-4 + 5i + x) + -8x² * (-4 + 5i + x) + x³(-4 + 5i + x)) = 0
(64 + -80i + -16x + (-4 * -20i + 5i * -20i + x * -20i) + 20ix * (-4 + 5i + x) + -5ix² * (-4 + 5i + x) + 4i² * (-4 + 5i + x) + -1i²x * (-4 + 5i + x) + 5i³ * (-4 + 5i + x) + 20x * (-4 + 5i + x) + -8x² * (-4 + 5i + x) + x³(-4 + 5i + x)) = 0

Reorder the terms:
(64 + -80i + -16x + (80i + -20ix + -100i²) + 20ix * (-4 + 5i + x) + -5ix² * (-4 + 5i + x) + 4i² * (-4 + 5i + x) + -1i²x * (-4 + 5i + x) + 5i³ * (-4 + 5i + x) + 20x * (-4 + 5i + x) + -8x² * (-4 + 5i + x) + x³(-4 + 5i + x)) = 0
(64 + -80i + -16x + (80i + -20ix + -100i²) + 20ix * (-4 + 5i + x) + -5ix² * (-4 + 5i + x) + 4i² * (-4 + 5i + x) + -1i²x * (-4 + 5i + x) + 5i³ * (-4 + 5i + x) + 20x * (-4 + 5i + x) + -8x² * (-4 + 5i + x) + x³(-4 + 5i + x)) = 0
(64 + -80i + -16x + 80i + -20ix + -100i² + (-4 * 20ix + 5i * 20ix + x * 20ix) + -5ix² * (-4 + 5i + x) + 4i² * (-4 + 5i + x) + -1i²x * (-4 + 5i + x) + 5i³ * (-4 + 5i + x) + 20x * (-4 + 5i + x) + -8x² * (-4 + 5i + x) + x³(-4 + 5i + x)) = 0

Reorder the terms:
(64 + -80i + -16x + 80i + -20ix + -100i² + (-80ix + 20ix² + 100i²x) + -5ix² * (-4 + 5i + x) + 4i² * (-4 + 5i + x) + -1i²x * (-4 + 5i + x) + 5i³ * (-4 + 5i + x) + 20x * (-4 + 5i + x) + -8x² * (-4 + 5i + x) + x³(-4 + 5i + x)) = 0
(64 + -80i + -16x + 80i + -20ix + -100i² + (-80ix + 20ix² + 100i²x) + -5ix² * (-4 + 5i + x) + 4i² * (-4 + 5i + x) + -1i²x * (-4 + 5i + x) + 5i³ * (-4 + 5i + x) + 20x * (-4 + 5i + x) + -8x² * (-4 + 5i + x) + x³(-4 + 5i + x)) = 0
(64 + -80i + -16x + 80i + -20ix + -100i² + -80ix + 20ix² + 100i²x + (-4 * -5ix² + 5i * -5ix² + x * -5ix²) + 4i² * (-4 + 5i + x) + -1i²x * (-4 + 5i + x) + 5i³ * (-4 + 5i + x) + 20x * (-4 + 5i + x) + -8x² * (-4 + 5i + x) + x³(-4 + 5i + x)) = 0

Reorder the terms:
(64 + -80i + -16x + 80i + -20ix + -100i² + -80ix + 20ix² + 100i²x + (20ix² + -5ix³ + -25i²x²) + 4i² * (-4 + 5i + x) + -1i²x * (-4 + 5i + x) + 5i³ * (-4 + 5i + x) + 20x * (-4 + 5i + x) + -8x² * (-4 + 5i + x) + x³(-4 + 5i + x)) = 0
(64 + -80i + -16x + 80i + -20ix + -100i² + -80ix + 20ix² + 100i²x + (20ix² + -5ix³ + -25i²x²) + 4i² * (-4 + 5i + x) + -1i²x * (-4 + 5i + x) + 5i³ * (-4 + 5i + x) + 20x * (-4 + 5i + x) + -8x² * (-4 + 5i + x) + x³(-4 + 5i + x)) = 0
(64 + -80i + -16x + 80i + -20ix + -100i² + -80ix + 20ix² + 100i²x + 20ix² + -5ix³ + -25i²x² + (-4 * 4i² + 5i * 4i² + x * 4i²) + -1i²x * (-4 + 5i + x) + 5i³ * (-4 + 5i + x) + 20x * (-4 + 5i + x) + -8x² * (-4 + 5i + x) + x³(-4 + 5i + x)) = 0

Reorder the terms:
(64 + -80i + -16x + 80i + -20ix + -100i² + -80ix + 20ix² + 100i²x + 20ix² + -5ix³ + -25i²x² + (-16i² + 4i²x + 20i³) + -1i²x * (-4 + 5i + x) + 5i³ * (-4 + 5i + x) + 20x * (-4 + 5i + x) + -8x² * (-4 + 5i + x) + x³(-4 + 5i + x)) = 0
(64 + -80i + -16x + 80i + -20ix + -100i² + -80ix + 20ix² + 100i²x + 20ix² + -5ix³ + -25i²x² + (-16i² + 4i²x + 20i³) + -1i²x * (-4 + 5i + x) + 5i³ * (-4 + 5i + x) + 20x * (-4 + 5i + x) + -8x² * (-4 + 5i + x) + x³(-4 + 5i + x)) = 0
(64 + -80i + -16x + 80i + -20ix + -100i² + -80ix + 20ix² + 100i²x + 20ix² + -5ix³ + -25i²x² + -16i² + 4i²x + 20i³ + (-4 * -1i²x + 5i * -1i²x + x * -1i²x) + 5i³ * (-4 + 5i + x) + 20x * (-4 + 5i + x) + -8x² * (-4 + 5i + x) + x³(-4 + 5i + x)) = 0

Reorder the terms:
(64 + -80i + -16x + 80i + -20ix + -100i² + -80ix + 20ix² + 100i²x + 20ix² + -5ix³ + -25i²x² + -16i² + 4i²x + 20i³ + (4i²x + -1i²x² + -5i³x) + 5i³ * (-4 + 5i + x) + 20x * (-4 + 5i + x) + -8x² * (-4 + 5i + x) + x³(-4 + 5i + x)) = 0
(64 + -80i + -16x + 80i + -20ix + -100i² + -80ix + 20ix² + 100i²x + 20ix² + -5ix³ + -25i²x² + -16i² + 4i²x + 20i³ + (4i²x + -1i²x² + -5i³x) + 5i³ * (-4 + 5i + x) + 20x * (-4 + 5i + x) + -8x² * (-4 + 5i + x) + x³(-4 + 5i + x)) = 0
(64 + -80i + -16x + 80i + -20ix + -100i² + -80ix + 20ix² + 100i²x + 20ix² + -5ix³ + -25i²x² + -16i² + 4i²x + 20i³ + 4i²x + -1i²x² + -5i³x + (-4 * 5i³ + 5i * 5i³ + x * 5i³) + 20x * (-4 + 5i + x) + -8x² * (-4 + 5i + x) + x³(-4 + 5i + x)) = 0

Reorder the terms:
(64 + -80i + -16x + 80i + -20ix + -100i² + -80ix + 20ix² + 100i²x + 20ix² + -5ix³ + -25i²x² + -16i² + 4i²x + 20i³ + 4i²x + -1i²x² + -5i³x + (-20i³ + 5i³x + 25i⁴) + 20x * (-4 + 5i + x) + -8x² * (-4 + 5i + x) + x³(-4 + 5i + x)) = 0
(64 + -80i + -16x + 80i + -20ix + -100i² + -80ix + 20ix² + 100i²x + 20ix² + -5ix³ + -25i²x² + -16i² + 4i²x + 20i³ + 4i²x + -1i²x² + -5i³x + (-20i³ + 5i³x + 25i⁴) + 20x * (-4 + 5i + x) + -8x² * (-4 + 5i + x) + x³(-4 + 5i + x)) = 0
(64 + -80i + -16x + 80i + -20ix + -100i² + -80ix + 20ix² + 100i²x + 20ix² + -5ix³ + -25i²x² + -16i² + 4i²x + 20i³ + 4i²x + -1i²x² + -5i³x + -20i³ + 5i³x + 25i⁴ + (-4 * 20x + 5i * 20x + x * 20x) + -8x² * (-4 + 5i + x) + x³(-4 + 5i + x)) = 0

Reorder the terms:
(64 + -80i + -16x + 80i + -20ix + -100i² + -80ix + 20ix² + 100i²x + 20ix² + -5ix³ + -25i²x² + -16i² + 4i²x + 20i³ + 4i²x + -1i²x² + -5i³x + -20i³ + 5i³x + 25i⁴ + (100ix + -80x + 20x²) + -8x² * (-4 + 5i + x) + x³(-4 + 5i + x)) = 0
(64 + -80i + -16x + 80i + -20ix + -100i² + -80ix + 20ix² + 100i²x + 20ix² + -5ix³ + -25i²x² + -16i² + 4i²x + 20i³ + 4i²x + -1i²x² + -5i³x + -20i³ + 5i³x + 25i⁴ + (100ix + -80x + 20x²) + -8x² * (-4 + 5i + x) + x³(-4 + 5i + x)) = 0
(64 + -80i + -16x + 80i + -20ix + -100i² + -80ix + 20ix² + 100i²x + 20ix² + -5ix³ + -25i²x² + -16i² + 4i²x + 20i³ + 4i²x + -1i²x² + -5i³x + -20i³ + 5i³x + 25i⁴ + 100ix + -80x + 20x² + (-4 * -8x² + 5i * -8x² + x * -8x²) + x³(-4 + 5i + x)) = 0

Reorder the terms:
(64 + -80i + -16x + 80i + -20ix + -100i² + -80ix + 20ix² + 100i²x + 20ix² + -5ix³ + -25i²x² + -16i² + 4i²x + 20i³ + 4i²x + -1i²x² + -5i³x + -20i³ + 5i³x + 25i⁴ + 100ix + -80x + 20x² + (-40ix² + 32x² + -8x³) + x³(-4 + 5i + x)) = 0
(64 + -80i + -16x + 80i + -20ix + -100i² + -80ix + 20ix² + 100i²x + 20ix² + -5ix³ + -25i²x² + -16i² + 4i²x + 20i³ + 4i²x + -1i²x² + -5i³x + -20i³ + 5i³x + 25i⁴ + 100ix + -80x + 20x² + (-40ix² + 32x² + -8x³) + x³(-4 + 5i + x)) = 0
(64 + -80i + -16x + 80i + -20ix + -100i² + -80ix + 20ix² + 100i²x + 20ix² + -5ix³ + -25i²x² + -16i² + 4i²x + 20i³ + 4i²x + -1i²x² + -5i³x + -20i³ + 5i³x + 25i⁴ + 100ix + -80x + 20x² + -40ix² + 32x² + -8x³ + (-4 * x³ + 5i * x³ + x * x³)) = 0

Reorder the terms:
(64 + -80i + -16x + 80i + -20ix + -100i² + -80ix + 20ix² + 100i²x + 20ix² + -5ix³ + -25i²x² + -16i² + 4i²x + 20i³ + 4i²x + -1i²x² + -5i³x + -20i³ + 5i³x + 25i⁴ + 100ix + -80x + 20x² + -40ix² + 32x² + -8x³ + (5ix³ + -4x³ + x⁴)) = 0
(64 + -80i + -16x + 80i + -20ix + -100i² + -80ix + 20ix² + 100i²x + 20ix² + -5ix³ + -25i²x² + -16i² + 4i²x + 20i³ + 4i²x + -1i²x² + -5i³x + -20i³ + 5i³x + 25i⁴ + 100ix + -80x + 20x² + -40ix² + 32x² + -8x³ + (5ix³ + -4x³ + x⁴)) = 0

Reorder the terms:
(64 + -80i + 80i + -20ix + -80ix + 100ix + 20ix² + 20ix² + -40ix² + -5ix³ + 5ix³ + -100i² + -16i² + 100i²x + 4i²x + 4i²x + -25i²x² + -1i²x² + 20i³ + -20i³ + -5i³x + 5i³x + 25i⁴ + -16x + -80x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: -80i + 80i = 0
(64 + 0 + -20ix + -80ix + 100ix + 20ix² + 20ix² + -40ix² + -5ix³ + 5ix³ + -100i² + -16i² + 100i²x + 4i²x + 4i²x + -25i²x² + -1i²x² + 20i³ + -20i³ + -5i³x + 5i³x + 25i⁴ + -16x + -80x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0
(64 + -20ix + -80ix + 100ix + 20ix² + 20ix² + -40ix² + -5ix³ + 5ix³ + -100i² + -16i² + 100i²x + 4i²x + 4i²x + -25i²x² + -1i²x² + 20i³ + -20i³ + -5i³x + 5i³x + 25i⁴ + -16x + -80x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: -20ix + -80ix = -100ix
(64 + -100ix + 100ix + 20ix² + 20ix² + -40ix² + -5ix³ + 5ix³ + -100i² + -16i² + 100i²x + 4i²x + 4i²x + -25i²x² + -1i²x² + 20i³ + -20i³ + -5i³x + 5i³x + 25i⁴ + -16x + -80x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: -100ix + 100ix = 0
(64 + 0 + 20ix² + 20ix² + -40ix² + -5ix³ + 5ix³ + -100i² + -16i² + 100i²x + 4i²x + 4i²x + -25i²x² + -1i²x² + 20i³ + -20i³ + -5i³x + 5i³x + 25i⁴ + -16x + -80x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0
(64 + 20ix² + 20ix² + -40ix² + -5ix³ + 5ix³ + -100i² + -16i² + 100i²x + 4i²x + 4i²x + -25i²x² + -1i²x² + 20i³ + -20i³ + -5i³x + 5i³x + 25i⁴ + -16x + -80x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: 20ix² + 20ix² = 40ix²
(64 + 40ix² + -40ix² + -5ix³ + 5ix³ + -100i² + -16i² + 100i²x + 4i²x + 4i²x + -25i²x² + -1i²x² + 20i³ + -20i³ + -5i³x + 5i³x + 25i⁴ + -16x + -80x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: 40ix² + -40ix² = 0
(64 + 0 + -5ix³ + 5ix³ + -100i² + -16i² + 100i²x + 4i²x + 4i²x + -25i²x² + -1i²x² + 20i³ + -20i³ + -5i³x + 5i³x + 25i⁴ + -16x + -80x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0
(64 + -5ix³ + 5ix³ + -100i² + -16i² + 100i²x + 4i²x + 4i²x + -25i²x² + -1i²x² + 20i³ + -20i³ + -5i³x + 5i³x + 25i⁴ + -16x + -80x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: -5ix³ + 5ix³ = 0
(64 + 0 + -100i² + -16i² + 100i²x + 4i²x + 4i²x + -25i²x² + -1i²x² + 20i³ + -20i³ + -5i³x + 5i³x + 25i⁴ + -16x + -80x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0
(64 + -100i² + -16i² + 100i²x + 4i²x + 4i²x + -25i²x² + -1i²x² + 20i³ + -20i³ + -5i³x + 5i³x + 25i⁴ + -16x + -80x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: -100i² + -16i² = -116i²
(64 + -116i² + 100i²x + 4i²x + 4i²x + -25i²x² + -1i²x² + 20i³ + -20i³ + -5i³x + 5i³x + 25i⁴ + -16x + -80x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: 100i²x + 4i²x = 104i²x
(64 + -116i² + 104i²x + 4i²x + -25i²x² + -1i²x² + 20i³ + -20i³ + -5i³x + 5i³x + 25i⁴ + -16x + -80x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: 104i²x + 4i²x = 108i²x
(64 + -116i² + 108i²x + -25i²x² + -1i²x² + 20i³ + -20i³ + -5i³x + 5i³x + 25i⁴ + -16x + -80x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: -25i²x² + -1i²x² = -26i²x²
(64 + -116i² + 108i²x + -26i²x² + 20i³ + -20i³ + -5i³x + 5i³x + 25i⁴ + -16x + -80x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: 20i³ + -20i³ = 0
(64 + -116i² + 108i²x + -26i²x² + 0 + -5i³x + 5i³x + 25i⁴ + -16x + -80x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0
(64 + -116i² + 108i²x + -26i²x² + -5i³x + 5i³x + 25i⁴ + -16x + -80x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: -5i³x + 5i³x = 0
(64 + -116i² + 108i²x + -26i²x² + 0 + 25i⁴ + -16x + -80x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0
(64 + -116i² + 108i²x + -26i²x² + 25i⁴ + -16x + -80x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: -16x + -80x = -96x
(64 + -116i² + 108i²x + -26i²x² + 25i⁴ + -96x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: 20x² + 32x² = 52x²
(64 + -116i² + 108i²x + -26i²x² + 25i⁴ + -96x + 52x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: -8x³ + -4x³ = -12x³
(64 + -116i² + 108i²x + -26i²x² + 25i⁴ + -96x + 52x² + -12x³ + x⁴) = 0

Solving
64 + -116i² + 108i²x + -26i²x² + 25i⁴ + -96x + 52x² + -12x³ + x⁴ = 0

Solving for variable 'i'.

The solution to this equation could not be determined.
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(x-(2+i))(x-(2-i))(x-(4+5i))(x-(4-5i))=0

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