(x-3)(x+8)(x-2)(x-3+4i)(x-3-4i)=0

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Solution for (x-3)(x+8)(x-2)(x-3+4i)(x-3-4i)=0 equation:

Simplifying
(x + -3)(x + 8)(x + -2)(x + -3 + 4i)(x + -3 + -4i) = 0

Reorder the terms:
(-3 + x)(x + 8)(x + -2)(x + -3 + 4i)(x + -3 + -4i) = 0

Reorder the terms:
(-3 + x)(8 + x)(x + -2)(x + -3 + 4i)(x + -3 + -4i) = 0

Reorder the terms:
(-3 + x)(8 + x)(-2 + x)(x + -3 + 4i)(x + -3 + -4i) = 0

Reorder the terms:
(-3 + x)(8 + x)(-2 + x)(-3 + 4i + x)(x + -3 + -4i) = 0

Reorder the terms:
(-3 + x)(8 + x)(-2 + x)(-3 + 4i + x)(-3 + -4i + x) = 0

Multiply (-3 + x) * (8 + x)
(-3(8 + x) + x(8 + x))(-2 + x)(-3 + 4i + x)(-3 + -4i + x) = 0
((8 * -3 + x * -3) + x(8 + x))(-2 + x)(-3 + 4i + x)(-3 + -4i + x) = 0
((-24 + -3x) + x(8 + x))(-2 + x)(-3 + 4i + x)(-3 + -4i + x) = 0
(-24 + -3x + (8 * x + x * x))(-2 + x)(-3 + 4i + x)(-3 + -4i + x) = 0
(-24 + -3x + (8x + x²))(-2 + x)(-3 + 4i + x)(-3 + -4i + x) = 0

Combine like terms: -3x + 8x = 5x
(-24 + 5x + x²)(-2 + x)(-3 + 4i + x)(-3 + -4i + x) = 0

Multiply (-24 + 5x + x²) * (-2 + x)
(-24(-2 + x) + 5x * (-2 + x) + x²(-2 + x))(-3 + 4i + x)(-3 + -4i + x) = 0
((-2 * -24 + x * -24) + 5x * (-2 + x) + x²(-2 + x))(-3 + 4i + x)(-3 + -4i + x) = 0
((48 + -24x) + 5x * (-2 + x) + x²(-2 + x))(-3 + 4i + x)(-3 + -4i + x) = 0
(48 + -24x + (-2 * 5x + x * 5x) + x²(-2 + x))(-3 + 4i + x)(-3 + -4i + x) = 0
(48 + -24x + (-10x + 5x²) + x²(-2 + x))(-3 + 4i + x)(-3 + -4i + x) = 0
(48 + -24x + -10x + 5x² + (-2 * x² + x * x²))(-3 + 4i + x)(-3 + -4i + x) = 0
(48 + -24x + -10x + 5x² + (-2x² + x³))(-3 + 4i + x)(-3 + -4i + x) = 0

Combine like terms: -24x + -10x = -34x
(48 + -34x + 5x² + -2x² + x³)(-3 + 4i + x)(-3 + -4i + x) = 0

Combine like terms: 5x² + -2x² = 3x²
(48 + -34x + 3x² + x³)(-3 + 4i + x)(-3 + -4i + x) = 0

Multiply (48 + -34x + 3x² + x³) * (-3 + 4i + x)
(48(-3 + 4i + x) + -34x * (-3 + 4i + x) + 3x² * (-3 + 4i + x) + x³(-3 + 4i + x))(-3 + -4i + x) = 0
((-3 * 48 + 4i * 48 + x * 48) + -34x * (-3 + 4i + x) + 3x² * (-3 + 4i + x) + x³(-3 + 4i + x))(-3 + -4i + x) = 0
((-144 + 192i + 48x) + -34x * (-3 + 4i + x) + 3x² * (-3 + 4i + x) + x³(-3 + 4i + x))(-3 + -4i + x) = 0
(-144 + 192i + 48x + (-3 * -34x + 4i * -34x + x * -34x) + 3x² * (-3 + 4i + x) + x³(-3 + 4i + x))(-3 + -4i + x) = 0

Reorder the terms:
(-144 + 192i + 48x + (-136ix + 102x + -34x²) + 3x² * (-3 + 4i + x) + x³(-3 + 4i + x))(-3 + -4i + x) = 0
(-144 + 192i + 48x + (-136ix + 102x + -34x²) + 3x² * (-3 + 4i + x) + x³(-3 + 4i + x))(-3 + -4i + x) = 0
(-144 + 192i + 48x + -136ix + 102x + -34x² + (-3 * 3x² + 4i * 3x² + x * 3x²) + x³(-3 + 4i + x))(-3 + -4i + x) = 0

Reorder the terms:
(-144 + 192i + 48x + -136ix + 102x + -34x² + (12ix² + -9x² + 3x³) + x³(-3 + 4i + x))(-3 + -4i + x) = 0
(-144 + 192i + 48x + -136ix + 102x + -34x² + (12ix² + -9x² + 3x³) + x³(-3 + 4i + x))(-3 + -4i + x) = 0
(-144 + 192i + 48x + -136ix + 102x + -34x² + 12ix² + -9x² + 3x³ + (-3 * x³ + 4i * x³ + x * x³))(-3 + -4i + x) = 0

Reorder the terms:
(-144 + 192i + 48x + -136ix + 102x + -34x² + 12ix² + -9x² + 3x³ + (4ix³ + -3x³ + x⁴))(-3 + -4i + x) = 0
(-144 + 192i + 48x + -136ix + 102x + -34x² + 12ix² + -9x² + 3x³ + (4ix³ + -3x³ + x⁴))(-3 + -4i + x) = 0

Reorder the terms:
(-144 + 192i + -136ix + 12ix² + 4ix³ + 48x + 102x + -34x² + -9x² + 3x³ + -3x³ + x⁴)(-3 + -4i + x) = 0

Combine like terms: 48x + 102x = 150x
(-144 + 192i + -136ix + 12ix² + 4ix³ + 150x + -34x² + -9x² + 3x³ + -3x³ + x⁴)(-3 + -4i + x) = 0

Combine like terms: -34x² + -9x² = -43x²
(-144 + 192i + -136ix + 12ix² + 4ix³ + 150x + -43x² + 3x³ + -3x³ + x⁴)(-3 + -4i + x) = 0

Combine like terms: 3x³ + -3x³ = 0
(-144 + 192i + -136ix + 12ix² + 4ix³ + 150x + -43x² + 0 + x⁴)(-3 + -4i + x) = 0
(-144 + 192i + -136ix + 12ix² + 4ix³ + 150x + -43x² + x⁴)(-3 + -4i + x) = 0

Multiply (-144 + 192i + -136ix + 12ix² + 4ix³ + 150x + -43x² + x⁴) * (-3 + -4i + x)
(-144(-3 + -4i + x) + 192i * (-3 + -4i + x) + -136ix * (-3 + -4i + x) + 12ix² * (-3 + -4i + x) + 4ix³ * (-3 + -4i + x) + 150x * (-3 + -4i + x) + -43x² * (-3 + -4i + x) + x⁴(-3 + -4i + x)) = 0
((-3 * -144 + -4i * -144 + x * -144) + 192i * (-3 + -4i + x) + -136ix * (-3 + -4i + x) + 12ix² * (-3 + -4i + x) + 4ix³ * (-3 + -4i + x) + 150x * (-3 + -4i + x) + -43x² * (-3 + -4i + x) + x⁴(-3 + -4i + x)) = 0
((432 + 576i + -144x) + 192i * (-3 + -4i + x) + -136ix * (-3 + -4i + x) + 12ix² * (-3 + -4i + x) + 4ix³ * (-3 + -4i + x) + 150x * (-3 + -4i + x) + -43x² * (-3 + -4i + x) + x⁴(-3 + -4i + x)) = 0
(432 + 576i + -144x + (-3 * 192i + -4i * 192i + x * 192i) + -136ix * (-3 + -4i + x) + 12ix² * (-3 + -4i + x) + 4ix³ * (-3 + -4i + x) + 150x * (-3 + -4i + x) + -43x² * (-3 + -4i + x) + x⁴(-3 + -4i + x)) = 0

Reorder the terms:
(432 + 576i + -144x + (-576i + 192ix + -768i²) + -136ix * (-3 + -4i + x) + 12ix² * (-3 + -4i + x) + 4ix³ * (-3 + -4i + x) + 150x * (-3 + -4i + x) + -43x² * (-3 + -4i + x) + x⁴(-3 + -4i + x)) = 0
(432 + 576i + -144x + (-576i + 192ix + -768i²) + -136ix * (-3 + -4i + x) + 12ix² * (-3 + -4i + x) + 4ix³ * (-3 + -4i + x) + 150x * (-3 + -4i + x) + -43x² * (-3 + -4i + x) + x⁴(-3 + -4i + x)) = 0
(432 + 576i + -144x + -576i + 192ix + -768i² + (-3 * -136ix + -4i * -136ix + x * -136ix) + 12ix² * (-3 + -4i + x) + 4ix³ * (-3 + -4i + x) + 150x * (-3 + -4i + x) + -43x² * (-3 + -4i + x) + x⁴(-3 + -4i + x)) = 0

Reorder the terms:
(432 + 576i + -144x + -576i + 192ix + -768i² + (408ix + -136ix² + 544i²x) + 12ix² * (-3 + -4i + x) + 4ix³ * (-3 + -4i + x) + 150x * (-3 + -4i + x) + -43x² * (-3 + -4i + x) + x⁴(-3 + -4i + x)) = 0
(432 + 576i + -144x + -576i + 192ix + -768i² + (408ix + -136ix² + 544i²x) + 12ix² * (-3 + -4i + x) + 4ix³ * (-3 + -4i + x) + 150x * (-3 + -4i + x) + -43x² * (-3 + -4i + x) + x⁴(-3 + -4i + x)) = 0
(432 + 576i + -144x + -576i + 192ix + -768i² + 408ix + -136ix² + 544i²x + (-3 * 12ix² + -4i * 12ix² + x * 12ix²) + 4ix³ * (-3 + -4i + x) + 150x * (-3 + -4i + x) + -43x² * (-3 + -4i + x) + x⁴(-3 + -4i + x)) = 0

Reorder the terms:
(432 + 576i + -144x + -576i + 192ix + -768i² + 408ix + -136ix² + 544i²x + (-36ix² + 12ix³ + -48i²x²) + 4ix³ * (-3 + -4i + x) + 150x * (-3 + -4i + x) + -43x² * (-3 + -4i + x) + x⁴(-3 + -4i + x)) = 0
(432 + 576i + -144x + -576i + 192ix + -768i² + 408ix + -136ix² + 544i²x + (-36ix² + 12ix³ + -48i²x²) + 4ix³ * (-3 + -4i + x) + 150x * (-3 + -4i + x) + -43x² * (-3 + -4i + x) + x⁴(-3 + -4i + x)) = 0
(432 + 576i + -144x + -576i + 192ix + -768i² + 408ix + -136ix² + 544i²x + -36ix² + 12ix³ + -48i²x² + (-3 * 4ix³ + -4i * 4ix³ + x * 4ix³) + 150x * (-3 + -4i + x) + -43x² * (-3 + -4i + x) + x⁴(-3 + -4i + x)) = 0

Reorder the terms:
(432 + 576i + -144x + -576i + 192ix + -768i² + 408ix + -136ix² + 544i²x + -36ix² + 12ix³ + -48i²x² + (-12ix³ + 4ix⁴ + -16i²x³) + 150x * (-3 + -4i + x) + -43x² * (-3 + -4i + x) + x⁴(-3 + -4i + x)) = 0
(432 + 576i + -144x + -576i + 192ix + -768i² + 408ix + -136ix² + 544i²x + -36ix² + 12ix³ + -48i²x² + (-12ix³ + 4ix⁴ + -16i²x³) + 150x * (-3 + -4i + x) + -43x² * (-3 + -4i + x) + x⁴(-3 + -4i + x)) = 0
(432 + 576i + -144x + -576i + 192ix + -768i² + 408ix + -136ix² + 544i²x + -36ix² + 12ix³ + -48i²x² + -12ix³ + 4ix⁴ + -16i²x³ + (-3 * 150x + -4i * 150x + x * 150x) + -43x² * (-3 + -4i + x) + x⁴(-3 + -4i + x)) = 0

Reorder the terms:
(432 + 576i + -144x + -576i + 192ix + -768i² + 408ix + -136ix² + 544i²x + -36ix² + 12ix³ + -48i²x² + -12ix³ + 4ix⁴ + -16i²x³ + (-600ix + -450x + 150x²) + -43x² * (-3 + -4i + x) + x⁴(-3 + -4i + x)) = 0
(432 + 576i + -144x + -576i + 192ix + -768i² + 408ix + -136ix² + 544i²x + -36ix² + 12ix³ + -48i²x² + -12ix³ + 4ix⁴ + -16i²x³ + (-600ix + -450x + 150x²) + -43x² * (-3 + -4i + x) + x⁴(-3 + -4i + x)) = 0
(432 + 576i + -144x + -576i + 192ix + -768i² + 408ix + -136ix² + 544i²x + -36ix² + 12ix³ + -48i²x² + -12ix³ + 4ix⁴ + -16i²x³ + -600ix + -450x + 150x² + (-3 * -43x² + -4i * -43x² + x * -43x²) + x⁴(-3 + -4i + x)) = 0

Reorder the terms:
(432 + 576i + -144x + -576i + 192ix + -768i² + 408ix + -136ix² + 544i²x + -36ix² + 12ix³ + -48i²x² + -12ix³ + 4ix⁴ + -16i²x³ + -600ix + -450x + 150x² + (172ix² + 129x² + -43x³) + x⁴(-3 + -4i + x)) = 0
(432 + 576i + -144x + -576i + 192ix + -768i² + 408ix + -136ix² + 544i²x + -36ix² + 12ix³ + -48i²x² + -12ix³ + 4ix⁴ + -16i²x³ + -600ix + -450x + 150x² + (172ix² + 129x² + -43x³) + x⁴(-3 + -4i + x)) = 0
(432 + 576i + -144x + -576i + 192ix + -768i² + 408ix + -136ix² + 544i²x + -36ix² + 12ix³ + -48i²x² + -12ix³ + 4ix⁴ + -16i²x³ + -600ix + -450x + 150x² + 172ix² + 129x² + -43x³ + (-3 * x⁴ + -4i * x⁴ + x * x⁴)) = 0

Reorder the terms:
(432 + 576i + -144x + -576i + 192ix + -768i² + 408ix + -136ix² + 544i²x + -36ix² + 12ix³ + -48i²x² + -12ix³ + 4ix⁴ + -16i²x³ + -600ix + -450x + 150x² + 172ix² + 129x² + -43x³ + (-4ix⁴ + -3x⁴ + x⁵)) = 0
(432 + 576i + -144x + -576i + 192ix + -768i² + 408ix + -136ix² + 544i²x + -36ix² + 12ix³ + -48i²x² + -12ix³ + 4ix⁴ + -16i²x³ + -600ix + -450x + 150x² + 172ix² + 129x² + -43x³ + (-4ix⁴ + -3x⁴ + x⁵)) = 0

Reorder the terms:
(432 + 576i + -576i + 192ix + 408ix + -600ix + -136ix² + -36ix² + 172ix² + 12ix³ + -12ix³ + 4ix⁴ + -4ix⁴ + -768i² + 544i²x + -48i²x² + -16i²x³ + -144x + -450x + 150x² + 129x² + -43x³ + -3x⁴ + x⁵) = 0

Combine like terms: 576i + -576i = 0
(432 + 0 + 192ix + 408ix + -600ix + -136ix² + -36ix² + 172ix² + 12ix³ + -12ix³ + 4ix⁴ + -4ix⁴ + -768i² + 544i²x + -48i²x² + -16i²x³ + -144x + -450x + 150x² + 129x² + -43x³ + -3x⁴ + x⁵) = 0
(432 + 192ix + 408ix + -600ix + -136ix² + -36ix² + 172ix² + 12ix³ + -12ix³ + 4ix⁴ + -4ix⁴ + -768i² + 544i²x + -48i²x² + -16i²x³ + -144x + -450x + 150x² + 129x² + -43x³ + -3x⁴ + x⁵) = 0

Combine like terms: 192ix + 408ix = 600ix
(432 + 600ix + -600ix + -136ix² + -36ix² + 172ix² + 12ix³ + -12ix³ + 4ix⁴ + -4ix⁴ + -768i² + 544i²x + -48i²x² + -16i²x³ + -144x + -450x + 150x² + 129x² + -43x³ + -3x⁴ + x⁵) = 0

Combine like terms: 600ix + -600ix = 0
(432 + 0 + -136ix² + -36ix² + 172ix² + 12ix³ + -12ix³ + 4ix⁴ + -4ix⁴ + -768i² + 544i²x + -48i²x² + -16i²x³ + -144x + -450x + 150x² + 129x² + -43x³ + -3x⁴ + x⁵) = 0
(432 + -136ix² + -36ix² + 172ix² + 12ix³ + -12ix³ + 4ix⁴ + -4ix⁴ + -768i² + 544i²x + -48i²x² + -16i²x³ + -144x + -450x + 150x² + 129x² + -43x³ + -3x⁴ + x⁵) = 0

Combine like terms: -136ix² + -36ix² = -172ix²
(432 + -172ix² + 172ix² + 12ix³ + -12ix³ + 4ix⁴ + -4ix⁴ + -768i² + 544i²x + -48i²x² + -16i²x³ + -144x + -450x + 150x² + 129x² + -43x³ + -3x⁴ + x⁵) = 0

Combine like terms: -172ix² + 172ix² = 0
(432 + 0 + 12ix³ + -12ix³ + 4ix⁴ + -4ix⁴ + -768i² + 544i²x + -48i²x² + -16i²x³ + -144x + -450x + 150x² + 129x² + -43x³ + -3x⁴ + x⁵) = 0
(432 + 12ix³ + -12ix³ + 4ix⁴ + -4ix⁴ + -768i² + 544i²x + -48i²x² + -16i²x³ + -144x + -450x + 150x² + 129x² + -43x³ + -3x⁴ + x⁵) = 0

Combine like terms: 12ix³ + -12ix³ = 0
(432 + 0 + 4ix⁴ + -4ix⁴ + -768i² + 544i²x + -48i²x² + -16i²x³ + -144x + -450x + 150x² + 129x² + -43x³ + -3x⁴ + x⁵) = 0
(432 + 4ix⁴ + -4ix⁴ + -768i² + 544i²x + -48i²x² + -16i²x³ + -144x + -450x + 150x² + 129x² + -43x³ + -3x⁴ + x⁵) = 0

Combine like terms: 4ix⁴ + -4ix⁴ = 0
(432 + 0 + -768i² + 544i²x + -48i²x² + -16i²x³ + -144x + -450x + 150x² + 129x² + -43x³ + -3x⁴ + x⁵) = 0
(432 + -768i² + 544i²x + -48i²x² + -16i²x³ + -144x + -450x + 150x² + 129x² + -43x³ + -3x⁴ + x⁵) = 0

Combine like terms: -144x + -450x = -594x
(432 + -768i² + 544i²x + -48i²x² + -16i²x³ + -594x + 150x² + 129x² + -43x³ + -3x⁴ + x⁵) = 0

Combine like terms: 150x² + 129x² = 279x²
(432 + -768i² + 544i²x + -48i²x² + -16i²x³ + -594x + 279x² + -43x³ + -3x⁴ + x⁵) = 0

Solving
432 + -768i² + 544i²x + -48i²x² + -16i²x³ + -594x + 279x² + -43x³ + -3x⁴ + x⁵ = 0

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '-432' to each side of the equation.
432 + -768i² + 544i²x + -48i²x² + -16i²x³ + -594x + 279x² + -43x³ + -3x⁴ + -432 + x⁵ = 0 + -432

Reorder the terms:
432 + -432 + -768i² + 544i²x + -48i²x² + -16i²x³ + -594x + 279x² + -43x³ + -3x⁴ + x⁵ = 0 + -432

Combine like terms: 432 + -432 = 0
0 + -768i² + 544i²x + -48i²x² + -16i²x³ + -594x + 279x² + -43x³ + -3x⁴ + x⁵ = 0 + -432
-768i² + 544i²x + -48i²x² + -16i²x³ + -594x + 279x² + -43x³ + -3x⁴ + x⁵ = 0 + -432

Combine like terms: 0 + -432 = -432
-768i² + 544i²x + -48i²x² + -16i²x³ + -594x + 279x² + -43x³ + -3x⁴ + x⁵ = -432

Add '594x' to each side of the equation.
-768i² + 544i²x + -48i²x² + -16i²x³ + -594x + 279x² + -43x³ + -3x⁴ + 594x + x⁵ = -432 + 594x

Reorder the terms:
-768i² + 544i²x + -48i²x² + -16i²x³ + -594x + 594x + 279x² + -43x³ + -3x⁴ + x⁵ = -432 + 594x

Combine like terms: -594x + 594x = 0
-768i² + 544i²x + -48i²x² + -16i²x³ + 0 + 279x² + -43x³ + -3x⁴ + x⁵ = -432 + 594x
-768i² + 544i²x + -48i²x² + -16i²x³ + 279x² + -43x³ + -3x⁴ + x⁵ = -432 + 594x

Add '-279x²' to each side of the equation.
-768i² + 544i²x + -48i²x² + -16i²x³ + 279x² + -43x³ + -3x⁴ + -279x² + x⁵ = -432 + 594x + -279x²

Reorder the terms:
-768i² + 544i²x + -48i²x² + -16i²x³ + 279x² + -279x² + -43x³ + -3x⁴ + x⁵ = -432 + 594x + -279x²

Combine like terms: 279x² + -279x² = 0
-768i² + 544i²x + -48i²x² + -16i²x³ + 0 + -43x³ + -3x⁴ + x⁵ = -432 + 594x + -279x²
-768i² + 544i²x + -48i²x² + -16i²x³ + -43x³ + -3x⁴ + x⁵ = -432 + 594x + -279x²

Add '43x³' to each side of the equation.
-768i² + 544i²x + -48i²x² + -16i²x³ + -43x³ + -3x⁴ + 43x³ + x⁵ = -432 + 594x + -279x² + 43x³

Reorder the terms:
-768i² + 544i²x + -48i²x² + -16i²x³ + -43x³ + 43x³ + -3x⁴ + x⁵ = -432 + 594x + -279x² + 43x³

Combine like terms: -43x³ + 43x³ = 0
-768i² + 544i²x + -48i²x² + -16i²x³ + 0 + -3x⁴ + x⁵ = -432 + 594x + -279x² + 43x³
-768i² + 544i²x + -48i²x² + -16i²x³ + -3x⁴ + x⁵ = -432 + 594x + -279x² + 43x³

Add '3x⁴' to each side of the equation.
-768i² + 544i²x + -48i²x² + -16i²x³ + -3x⁴ + 3x⁴ + x⁵ = -432 + 594x + -279x² + 43x³ + 3x⁴

Combine like terms: -3x⁴ + 3x⁴ = 0
-768i² + 544i²x + -48i²x² + -16i²x³ + 0 + x⁵ = -432 + 594x + -279x² + 43x³ + 3x⁴
-768i² + 544i²x + -48i²x² + -16i²x³ + x⁵ = -432 + 594x + -279x² + 43x³ + 3x⁴

Add '-1x⁵' to each side of the equation.
-768i² + 544i²x + -48i²x² + -16i²x³ + x⁵ + -1x⁵ = -432 + 594x + -279x² + 43x³ + 3x⁴ + -1x⁵

Combine like terms: x⁵ + -1x⁵ = 0
-768i² + 544i²x + -48i²x² + -16i²x³ + 0 = -432 + 594x + -279x² + 43x³ + 3x⁴ + -1x⁵
-768i² + 544i²x + -48i²x² + -16i²x³ = -432 + 594x + -279x² + 43x³ + 3x⁴ + -1x⁵

Reorder the terms:
432 + -768i² + 544i²x + -48i²x² + -16i²x³ + -594x + 279x² + -43x³ + -3x⁴ + x⁵ = -432 + 594x + -279x² + 43x³ + 3x⁴ + -1x⁵ + 432 + -594x + 279x² + -43x³ + -3x⁴ + x⁵

Reorder the terms:
432 + -768i² + 544i²x + -48i²x² + -16i²x³ + -594x + 279x² + -43x³ + -3x⁴ + x⁵ = -432 + 432 + 594x + -594x + -279x² + 279x² + 43x³ + -43x³ + 3x⁴ + -3x⁴ + -1x⁵ + x⁵

Combine like terms: -432 + 432 = 0
432 + -768i² + 544i²x + -48i²x² + -16i²x³ + -594x + 279x² + -43x³ + -3x⁴ + x⁵ = 0 + 594x + -594x + -279x² + 279x² + 43x³ + -43x³ + 3x⁴ + -3x⁴ + -1x⁵ + x⁵
432 + -768i² + 544i²x + -48i²x² + -16i²x³ + -594x + 279x² + -43x³ + -3x⁴ + x⁵ = 594x + -594x + -279x² + 279x² + 43x³ + -43x³ + 3x⁴ + -3x⁴ + -1x⁵ + x⁵

Combine like terms: 594x + -594x = 0
432 + -768i² + 544i²x + -48i²x² + -16i²x³ + -594x + 279x² + -43x³ + -3x⁴ + x⁵ = 0 + -279x² + 279x² + 43x³ + -43x³ + 3x⁴ + -3x⁴ + -1x⁵ + x⁵
432 + -768i² + 544i²x + -48i²x² + -16i²x³ + -594x + 279x² + -43x³ + -3x⁴ + x⁵ = -279x² + 279x² + 43x³ + -43x³ + 3x⁴ + -3x⁴ + -1x⁵ + x⁵

Combine like terms: -279x² + 279x² = 0
432 + -768i² + 544i²x + -48i²x² + -16i²x³ + -594x + 279x² + -43x³ + -3x⁴ + x⁵ = 0 + 43x³ + -43x³ + 3x⁴ + -3x⁴ + -1x⁵ + x⁵
432 + -768i² + 544i²x + -48i²x² + -16i²x³ + -594x + 279x² + -43x³ + -3x⁴ + x⁵ = 43x³ + -43x³ + 3x⁴ + -3x⁴ + -1x⁵ + x⁵

Combine like terms: 43x³ + -43x³ = 0
432 + -768i² + 544i²x + -48i²x² + -16i²x³ + -594x + 279x² + -43x³ + -3x⁴ + x⁵ = 0 + 3x⁴ + -3x⁴ + -1x⁵ + x⁵
432 + -768i² + 544i²x + -48i²x² + -16i²x³ + -594x + 279x² + -43x³ + -3x⁴ + x⁵ = 3x⁴ + -3x⁴ + -1x⁵ + x⁵

Combine like terms: 3x⁴ + -3x⁴ = 0
432 + -768i² + 544i²x + -48i²x² + -16i²x³ + -594x + 279x² + -43x³ + -3x⁴ + x⁵ = 0 + -1x⁵ + x⁵
432 + -768i² + 544i²x + -48i²x² + -16i²x³ + -594x + 279x² + -43x³ + -3x⁴ + x⁵ = -1x⁵ + x⁵

Combine like terms: -1x⁵ + x⁵ = 0
432 + -768i² + 544i²x + -48i²x² + -16i²x³ + -594x + 279x² + -43x³ + -3x⁴ + x⁵ = 0

The solution to this equation could not be determined.
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(x-3)(x+8)(x-2)(x-3+4i)(x-3-4i)=0

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