(X+8)(x-3)(x-4-5i)(x-4+5i)=0

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Solution for (X+8)(x-3)(x-4-5i)(x-4+5i)=0 equation:

Simplifying
(X + 8)(x + -3)(x + -4 + -5i)(x + -4 + 5i) = 0

Reorder the terms:
(8 + X)(x + -3)(x + -4 + -5i)(x + -4 + 5i) = 0

Reorder the terms:
(8 + X)(-3 + x)(x + -4 + -5i)(x + -4 + 5i) = 0

Reorder the terms:
(8 + X)(-3 + x)(-4 + -5i + x)(x + -4 + 5i) = 0

Reorder the terms:
(8 + X)(-3 + x)(-4 + -5i + x)(-4 + 5i + x) = 0

Multiply (8 + X) * (-3 + x)
(8(-3 + x) + X(-3 + x))(-4 + -5i + x)(-4 + 5i + x) = 0
((-3 * 8 + x * 8) + X(-3 + x))(-4 + -5i + x)(-4 + 5i + x) = 0
((-24 + 8x) + X(-3 + x))(-4 + -5i + x)(-4 + 5i + x) = 0
(-24 + 8x + (-3 * X + x * X))(-4 + -5i + x)(-4 + 5i + x) = 0
(-24 + 8x + (-3X + xX))(-4 + -5i + x)(-4 + 5i + x) = 0

Reorder the terms:
(-24 + -3X + 8x + xX)(-4 + -5i + x)(-4 + 5i + x) = 0
(-24 + -3X + 8x + xX)(-4 + -5i + x)(-4 + 5i + x) = 0

Multiply (-24 + -3X + 8x + xX) * (-4 + -5i + x)
(-24(-4 + -5i + x) + -3X * (-4 + -5i + x) + 8x * (-4 + -5i + x) + xX(-4 + -5i + x))(-4 + 5i + x) = 0
((-4 * -24 + -5i * -24 + x * -24) + -3X * (-4 + -5i + x) + 8x * (-4 + -5i + x) + xX(-4 + -5i + x))(-4 + 5i + x) = 0
((96 + 120i + -24x) + -3X * (-4 + -5i + x) + 8x * (-4 + -5i + x) + xX(-4 + -5i + x))(-4 + 5i + x) = 0
(96 + 120i + -24x + (-4 * -3X + -5i * -3X + x * -3X) + 8x * (-4 + -5i + x) + xX(-4 + -5i + x))(-4 + 5i + x) = 0
(96 + 120i + -24x + (12X + 15iX + -3xX) + 8x * (-4 + -5i + x) + xX(-4 + -5i + x))(-4 + 5i + x) = 0
(96 + 120i + -24x + 12X + 15iX + -3xX + (-4 * 8x + -5i * 8x + x * 8x) + xX(-4 + -5i + x))(-4 + 5i + x) = 0

Reorder the terms:
(96 + 120i + -24x + 12X + 15iX + -3xX + (-40ix + -32x + 8x²) + xX(-4 + -5i + x))(-4 + 5i + x) = 0
(96 + 120i + -24x + 12X + 15iX + -3xX + (-40ix + -32x + 8x²) + xX(-4 + -5i + x))(-4 + 5i + x) = 0
(96 + 120i + -24x + 12X + 15iX + -3xX + -40ix + -32x + 8x² + (-4 * xX + -5i * xX + x * xX))(-4 + 5i + x) = 0

Reorder the terms:
(96 + 120i + -24x + 12X + 15iX + -3xX + -40ix + -32x + 8x² + (-5ixX + -4xX + x²X))(-4 + 5i + x) = 0
(96 + 120i + -24x + 12X + 15iX + -3xX + -40ix + -32x + 8x² + (-5ixX + -4xX + x²X))(-4 + 5i + x) = 0

Reorder the terms:
(96 + 12X + 120i + 15iX + -40ix + -5ixX + -24x + -32x + -3xX + -4xX + 8x² + x²X)(-4 + 5i + x) = 0

Combine like terms: -24x + -32x = -56x
(96 + 12X + 120i + 15iX + -40ix + -5ixX + -56x + -3xX + -4xX + 8x² + x²X)(-4 + 5i + x) = 0

Combine like terms: -3xX + -4xX = -7xX
(96 + 12X + 120i + 15iX + -40ix + -5ixX + -56x + -7xX + 8x² + x²X)(-4 + 5i + x) = 0

Multiply (96 + 12X + 120i + 15iX + -40ix + -5ixX + -56x + -7xX + 8x² + x²X) * (-4 + 5i + x)
(96(-4 + 5i + x) + 12X * (-4 + 5i + x) + 120i * (-4 + 5i + x) + 15iX * (-4 + 5i + x) + -40ix * (-4 + 5i + x) + -5ixX * (-4 + 5i + x) + -56x * (-4 + 5i + x) + -7xX * (-4 + 5i + x) + 8x² * (-4 + 5i + x) + x²X(-4 + 5i + x)) = 0
((-4 * 96 + 5i * 96 + x * 96) + 12X * (-4 + 5i + x) + 120i * (-4 + 5i + x) + 15iX * (-4 + 5i + x) + -40ix * (-4 + 5i + x) + -5ixX * (-4 + 5i + x) + -56x * (-4 + 5i + x) + -7xX * (-4 + 5i + x) + 8x² * (-4 + 5i + x) + x²X(-4 + 5i + x)) = 0
((-384 + 480i + 96x) + 12X * (-4 + 5i + x) + 120i * (-4 + 5i + x) + 15iX * (-4 + 5i + x) + -40ix * (-4 + 5i + x) + -5ixX * (-4 + 5i + x) + -56x * (-4 + 5i + x) + -7xX * (-4 + 5i + x) + 8x² * (-4 + 5i + x) + x²X(-4 + 5i + x)) = 0
(-384 + 480i + 96x + (-4 * 12X + 5i * 12X + x * 12X) + 120i * (-4 + 5i + x) + 15iX * (-4 + 5i + x) + -40ix * (-4 + 5i + x) + -5ixX * (-4 + 5i + x) + -56x * (-4 + 5i + x) + -7xX * (-4 + 5i + x) + 8x² * (-4 + 5i + x) + x²X(-4 + 5i + x)) = 0
(-384 + 480i + 96x + (-48X + 60iX + 12xX) + 120i * (-4 + 5i + x) + 15iX * (-4 + 5i + x) + -40ix * (-4 + 5i + x) + -5ixX * (-4 + 5i + x) + -56x * (-4 + 5i + x) + -7xX * (-4 + 5i + x) + 8x² * (-4 + 5i + x) + x²X(-4 + 5i + x)) = 0
(-384 + 480i + 96x + -48X + 60iX + 12xX + (-4 * 120i + 5i * 120i + x * 120i) + 15iX * (-4 + 5i + x) + -40ix * (-4 + 5i + x) + -5ixX * (-4 + 5i + x) + -56x * (-4 + 5i + x) + -7xX * (-4 + 5i + x) + 8x² * (-4 + 5i + x) + x²X(-4 + 5i + x)) = 0

Reorder the terms:
(-384 + 480i + 96x + -48X + 60iX + 12xX + (-480i + 120ix + 600i²) + 15iX * (-4 + 5i + x) + -40ix * (-4 + 5i + x) + -5ixX * (-4 + 5i + x) + -56x * (-4 + 5i + x) + -7xX * (-4 + 5i + x) + 8x² * (-4 + 5i + x) + x²X(-4 + 5i + x)) = 0
(-384 + 480i + 96x + -48X + 60iX + 12xX + (-480i + 120ix + 600i²) + 15iX * (-4 + 5i + x) + -40ix * (-4 + 5i + x) + -5ixX * (-4 + 5i + x) + -56x * (-4 + 5i + x) + -7xX * (-4 + 5i + x) + 8x² * (-4 + 5i + x) + x²X(-4 + 5i + x)) = 0
(-384 + 480i + 96x + -48X + 60iX + 12xX + -480i + 120ix + 600i² + (-4 * 15iX + 5i * 15iX + x * 15iX) + -40ix * (-4 + 5i + x) + -5ixX * (-4 + 5i + x) + -56x * (-4 + 5i + x) + -7xX * (-4 + 5i + x) + 8x² * (-4 + 5i + x) + x²X(-4 + 5i + x)) = 0

Reorder the terms:
(-384 + 480i + 96x + -48X + 60iX + 12xX + -480i + 120ix + 600i² + (-60iX + 15ixX + 75i²X) + -40ix * (-4 + 5i + x) + -5ixX * (-4 + 5i + x) + -56x * (-4 + 5i + x) + -7xX * (-4 + 5i + x) + 8x² * (-4 + 5i + x) + x²X(-4 + 5i + x)) = 0
(-384 + 480i + 96x + -48X + 60iX + 12xX + -480i + 120ix + 600i² + (-60iX + 15ixX + 75i²X) + -40ix * (-4 + 5i + x) + -5ixX * (-4 + 5i + x) + -56x * (-4 + 5i + x) + -7xX * (-4 + 5i + x) + 8x² * (-4 + 5i + x) + x²X(-4 + 5i + x)) = 0
(-384 + 480i + 96x + -48X + 60iX + 12xX + -480i + 120ix + 600i² + -60iX + 15ixX + 75i²X + (-4 * -40ix + 5i * -40ix + x * -40ix) + -5ixX * (-4 + 5i + x) + -56x * (-4 + 5i + x) + -7xX * (-4 + 5i + x) + 8x² * (-4 + 5i + x) + x²X(-4 + 5i + x)) = 0

Reorder the terms:
(-384 + 480i + 96x + -48X + 60iX + 12xX + -480i + 120ix + 600i² + -60iX + 15ixX + 75i²X + (160ix + -40ix² + -200i²x) + -5ixX * (-4 + 5i + x) + -56x * (-4 + 5i + x) + -7xX * (-4 + 5i + x) + 8x² * (-4 + 5i + x) + x²X(-4 + 5i + x)) = 0
(-384 + 480i + 96x + -48X + 60iX + 12xX + -480i + 120ix + 600i² + -60iX + 15ixX + 75i²X + (160ix + -40ix² + -200i²x) + -5ixX * (-4 + 5i + x) + -56x * (-4 + 5i + x) + -7xX * (-4 + 5i + x) + 8x² * (-4 + 5i + x) + x²X(-4 + 5i + x)) = 0
(-384 + 480i + 96x + -48X + 60iX + 12xX + -480i + 120ix + 600i² + -60iX + 15ixX + 75i²X + 160ix + -40ix² + -200i²x + (-4 * -5ixX + 5i * -5ixX + x * -5ixX) + -56x * (-4 + 5i + x) + -7xX * (-4 + 5i + x) + 8x² * (-4 + 5i + x) + x²X(-4 + 5i + x)) = 0

Reorder the terms:
(-384 + 480i + 96x + -48X + 60iX + 12xX + -480i + 120ix + 600i² + -60iX + 15ixX + 75i²X + 160ix + -40ix² + -200i²x + (20ixX + -5ix²X + -25i²xX) + -56x * (-4 + 5i + x) + -7xX * (-4 + 5i + x) + 8x² * (-4 + 5i + x) + x²X(-4 + 5i + x)) = 0
(-384 + 480i + 96x + -48X + 60iX + 12xX + -480i + 120ix + 600i² + -60iX + 15ixX + 75i²X + 160ix + -40ix² + -200i²x + (20ixX + -5ix²X + -25i²xX) + -56x * (-4 + 5i + x) + -7xX * (-4 + 5i + x) + 8x² * (-4 + 5i + x) + x²X(-4 + 5i + x)) = 0
(-384 + 480i + 96x + -48X + 60iX + 12xX + -480i + 120ix + 600i² + -60iX + 15ixX + 75i²X + 160ix + -40ix² + -200i²x + 20ixX + -5ix²X + -25i²xX + (-4 * -56x + 5i * -56x + x * -56x) + -7xX * (-4 + 5i + x) + 8x² * (-4 + 5i + x) + x²X(-4 + 5i + x)) = 0

Reorder the terms:
(-384 + 480i + 96x + -48X + 60iX + 12xX + -480i + 120ix + 600i² + -60iX + 15ixX + 75i²X + 160ix + -40ix² + -200i²x + 20ixX + -5ix²X + -25i²xX + (-280ix + 224x + -56x²) + -7xX * (-4 + 5i + x) + 8x² * (-4 + 5i + x) + x²X(-4 + 5i + x)) = 0
(-384 + 480i + 96x + -48X + 60iX + 12xX + -480i + 120ix + 600i² + -60iX + 15ixX + 75i²X + 160ix + -40ix² + -200i²x + 20ixX + -5ix²X + -25i²xX + (-280ix + 224x + -56x²) + -7xX * (-4 + 5i + x) + 8x² * (-4 + 5i + x) + x²X(-4 + 5i + x)) = 0
(-384 + 480i + 96x + -48X + 60iX + 12xX + -480i + 120ix + 600i² + -60iX + 15ixX + 75i²X + 160ix + -40ix² + -200i²x + 20ixX + -5ix²X + -25i²xX + -280ix + 224x + -56x² + (-4 * -7xX + 5i * -7xX + x * -7xX) + 8x² * (-4 + 5i + x) + x²X(-4 + 5i + x)) = 0

Reorder the terms:
(-384 + 480i + 96x + -48X + 60iX + 12xX + -480i + 120ix + 600i² + -60iX + 15ixX + 75i²X + 160ix + -40ix² + -200i²x + 20ixX + -5ix²X + -25i²xX + -280ix + 224x + -56x² + (-35ixX + 28xX + -7x²X) + 8x² * (-4 + 5i + x) + x²X(-4 + 5i + x)) = 0
(-384 + 480i + 96x + -48X + 60iX + 12xX + -480i + 120ix + 600i² + -60iX + 15ixX + 75i²X + 160ix + -40ix² + -200i²x + 20ixX + -5ix²X + -25i²xX + -280ix + 224x + -56x² + (-35ixX + 28xX + -7x²X) + 8x² * (-4 + 5i + x) + x²X(-4 + 5i + x)) = 0
(-384 + 480i + 96x + -48X + 60iX + 12xX + -480i + 120ix + 600i² + -60iX + 15ixX + 75i²X + 160ix + -40ix² + -200i²x + 20ixX + -5ix²X + -25i²xX + -280ix + 224x + -56x² + -35ixX + 28xX + -7x²X + (-4 * 8x² + 5i * 8x² + x * 8x²) + x²X(-4 + 5i + x)) = 0

Reorder the terms:
(-384 + 480i + 96x + -48X + 60iX + 12xX + -480i + 120ix + 600i² + -60iX + 15ixX + 75i²X + 160ix + -40ix² + -200i²x + 20ixX + -5ix²X + -25i²xX + -280ix + 224x + -56x² + -35ixX + 28xX + -7x²X + (40ix² + -32x² + 8x³) + x²X(-4 + 5i + x)) = 0
(-384 + 480i + 96x + -48X + 60iX + 12xX + -480i + 120ix + 600i² + -60iX + 15ixX + 75i²X + 160ix + -40ix² + -200i²x + 20ixX + -5ix²X + -25i²xX + -280ix + 224x + -56x² + -35ixX + 28xX + -7x²X + (40ix² + -32x² + 8x³) + x²X(-4 + 5i + x)) = 0
(-384 + 480i + 96x + -48X + 60iX + 12xX + -480i + 120ix + 600i² + -60iX + 15ixX + 75i²X + 160ix + -40ix² + -200i²x + 20ixX + -5ix²X + -25i²xX + -280ix + 224x + -56x² + -35ixX + 28xX + -7x²X + 40ix² + -32x² + 8x³ + (-4 * x²X + 5i * x²X + x * x²X)) = 0

Reorder the terms:
(-384 + 480i + 96x + -48X + 60iX + 12xX + -480i + 120ix + 600i² + -60iX + 15ixX + 75i²X + 160ix + -40ix² + -200i²x + 20ixX + -5ix²X + -25i²xX + -280ix + 224x + -56x² + -35ixX + 28xX + -7x²X + 40ix² + -32x² + 8x³ + (5ix²X + -4x²X + x³X)) = 0
(-384 + 480i + 96x + -48X + 60iX + 12xX + -480i + 120ix + 600i² + -60iX + 15ixX + 75i²X + 160ix + -40ix² + -200i²x + 20ixX + -5ix²X + -25i²xX + -280ix + 224x + -56x² + -35ixX + 28xX + -7x²X + 40ix² + -32x² + 8x³ + (5ix²X + -4x²X + x³X)) = 0

Reorder the terms:
(-384 + -48X + 480i + -480i + 60iX + -60iX + 120ix + 160ix + -280ix + 15ixX + 20ixX + -35ixX + -40ix² + 40ix² + -5ix²X + 5ix²X + 600i² + 75i²X + -200i²x + -25i²xX + 96x + 224x + 12xX + 28xX + -56x² + -32x² + -7x²X + -4x²X + 8x³ + x³X) = 0

Combine like terms: 480i + -480i = 0
(-384 + -48X + 0 + 60iX + -60iX + 120ix + 160ix + -280ix + 15ixX + 20ixX + -35ixX + -40ix² + 40ix² + -5ix²X + 5ix²X + 600i² + 75i²X + -200i²x + -25i²xX + 96x + 224x + 12xX + 28xX + -56x² + -32x² + -7x²X + -4x²X + 8x³ + x³X) = 0
(-384 + -48X + 60iX + -60iX + 120ix + 160ix + -280ix + 15ixX + 20ixX + -35ixX + -40ix² + 40ix² + -5ix²X + 5ix²X + 600i² + 75i²X + -200i²x + -25i²xX + 96x + 224x + 12xX + 28xX + -56x² + -32x² + -7x²X + -4x²X + 8x³ + x³X) = 0

Combine like terms: 60iX + -60iX = 0
(-384 + -48X + 0 + 120ix + 160ix + -280ix + 15ixX + 20ixX + -35ixX + -40ix² + 40ix² + -5ix²X + 5ix²X + 600i² + 75i²X + -200i²x + -25i²xX + 96x + 224x + 12xX + 28xX + -56x² + -32x² + -7x²X + -4x²X + 8x³ + x³X) = 0
(-384 + -48X + 120ix + 160ix + -280ix + 15ixX + 20ixX + -35ixX + -40ix² + 40ix² + -5ix²X + 5ix²X + 600i² + 75i²X + -200i²x + -25i²xX + 96x + 224x + 12xX + 28xX + -56x² + -32x² + -7x²X + -4x²X + 8x³ + x³X) = 0

Combine like terms: 120ix + 160ix = 280ix
(-384 + -48X + 280ix + -280ix + 15ixX + 20ixX + -35ixX + -40ix² + 40ix² + -5ix²X + 5ix²X + 600i² + 75i²X + -200i²x + -25i²xX + 96x + 224x + 12xX + 28xX + -56x² + -32x² + -7x²X + -4x²X + 8x³ + x³X) = 0

Combine like terms: 280ix + -280ix = 0
(-384 + -48X + 0 + 15ixX + 20ixX + -35ixX + -40ix² + 40ix² + -5ix²X + 5ix²X + 600i² + 75i²X + -200i²x + -25i²xX + 96x + 224x + 12xX + 28xX + -56x² + -32x² + -7x²X + -4x²X + 8x³ + x³X) = 0
(-384 + -48X + 15ixX + 20ixX + -35ixX + -40ix² + 40ix² + -5ix²X + 5ix²X + 600i² + 75i²X + -200i²x + -25i²xX + 96x + 224x + 12xX + 28xX + -56x² + -32x² + -7x²X + -4x²X + 8x³ + x³X) = 0

Combine like terms: 15ixX + 20ixX = 35ixX
(-384 + -48X + 35ixX + -35ixX + -40ix² + 40ix² + -5ix²X + 5ix²X + 600i² + 75i²X + -200i²x + -25i²xX + 96x + 224x + 12xX + 28xX + -56x² + -32x² + -7x²X + -4x²X + 8x³ + x³X) = 0

Combine like terms: 35ixX + -35ixX = 0
(-384 + -48X + 0 + -40ix² + 40ix² + -5ix²X + 5ix²X + 600i² + 75i²X + -200i²x + -25i²xX + 96x + 224x + 12xX + 28xX + -56x² + -32x² + -7x²X + -4x²X + 8x³ + x³X) = 0
(-384 + -48X + -40ix² + 40ix² + -5ix²X + 5ix²X + 600i² + 75i²X + -200i²x + -25i²xX + 96x + 224x + 12xX + 28xX + -56x² + -32x² + -7x²X + -4x²X + 8x³ + x³X) = 0

Combine like terms: -40ix² + 40ix² = 0
(-384 + -48X + 0 + -5ix²X + 5ix²X + 600i² + 75i²X + -200i²x + -25i²xX + 96x + 224x + 12xX + 28xX + -56x² + -32x² + -7x²X + -4x²X + 8x³ + x³X) = 0
(-384 + -48X + -5ix²X + 5ix²X + 600i² + 75i²X + -200i²x + -25i²xX + 96x + 224x + 12xX + 28xX + -56x² + -32x² + -7x²X + -4x²X + 8x³ + x³X) = 0

Combine like terms: -5ix²X + 5ix²X = 0
(-384 + -48X + 0 + 600i² + 75i²X + -200i²x + -25i²xX + 96x + 224x + 12xX + 28xX + -56x² + -32x² + -7x²X + -4x²X + 8x³ + x³X) = 0
(-384 + -48X + 600i² + 75i²X + -200i²x + -25i²xX + 96x + 224x + 12xX + 28xX + -56x² + -32x² + -7x²X + -4x²X + 8x³ + x³X) = 0

Combine like terms: 96x + 224x = 320x
(-384 + -48X + 600i² + 75i²X + -200i²x + -25i²xX + 320x + 12xX + 28xX + -56x² + -32x² + -7x²X + -4x²X + 8x³ + x³X) = 0

Combine like terms: 12xX + 28xX = 40xX
(-384 + -48X + 600i² + 75i²X + -200i²x + -25i²xX + 320x + 40xX + -56x² + -32x² + -7x²X + -4x²X + 8x³ + x³X) = 0

Combine like terms: -56x² + -32x² = -88x²
(-384 + -48X + 600i² + 75i²X + -200i²x + -25i²xX + 320x + 40xX + -88x² + -7x²X + -4x²X + 8x³ + x³X) = 0

Combine like terms: -7x²X + -4x²X = -11x²X
(-384 + -48X + 600i² + 75i²X + -200i²x + -25i²xX + 320x + 40xX + -88x² + -11x²X + 8x³ + x³X) = 0

Solving
-384 + -48X + 600i² + 75i²X + -200i²x + -25i²xX + 320x + 40xX + -88x² + -11x²X + 8x³ + x³X = 0

Solving for variable 'X'.

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

Add '384' to each side of the equation.
-384 + -48X + 600i² + 75i²X + -200i²x + -25i²xX + 320x + 40xX + -88x² + -11x²X + 8x³ + 384 + x³X = 0 + 384

Reorder the terms:
-384 + 384 + -48X + 600i² + 75i²X + -200i²x + -25i²xX + 320x + 40xX + -88x² + -11x²X + 8x³ + x³X = 0 + 384

Combine like terms: -384 + 384 = 0
0 + -48X + 600i² + 75i²X + -200i²x + -25i²xX + 320x + 40xX + -88x² + -11x²X + 8x³ + x³X = 0 + 384
-48X + 600i² + 75i²X + -200i²x + -25i²xX + 320x + 40xX + -88x² + -11x²X + 8x³ + x³X = 0 + 384

Combine like terms: 0 + 384 = 384
-48X + 600i² + 75i²X + -200i²x + -25i²xX + 320x + 40xX + -88x² + -11x²X + 8x³ + x³X = 384

Add '-600i²' to each side of the equation.
-48X + 600i² + 75i²X + -200i²x + -25i²xX + 320x + 40xX + -88x² + -11x²X + 8x³ + -600i² + x³X = 384 + -600i²

Reorder the terms:
-48X + 600i² + -600i² + 75i²X + -200i²x + -25i²xX + 320x + 40xX + -88x² + -11x²X + 8x³ + x³X = 384 + -600i²

Combine like terms: 600i² + -600i² = 0
-48X + 0 + 75i²X + -200i²x + -25i²xX + 320x + 40xX + -88x² + -11x²X + 8x³ + x³X = 384 + -600i²
-48X + 75i²X + -200i²x + -25i²xX + 320x + 40xX + -88x² + -11x²X + 8x³ + x³X = 384 + -600i²

Add '200i²x' to each side of the equation.
-48X + 75i²X + -200i²x + -25i²xX + 320x + 40xX + -88x² + -11x²X + 8x³ + 200i²x + x³X = 384 + -600i² + 200i²x

Reorder the terms:
-48X + 75i²X + -200i²x + 200i²x + -25i²xX + 320x + 40xX + -88x² + -11x²X + 8x³ + x³X = 384 + -600i² + 200i²x

Combine like terms: -200i²x + 200i²x = 0
-48X + 75i²X + 0 + -25i²xX + 320x + 40xX + -88x² + -11x²X + 8x³ + x³X = 384 + -600i² + 200i²x
-48X + 75i²X + -25i²xX + 320x + 40xX + -88x² + -11x²X + 8x³ + x³X = 384 + -600i² + 200i²x

Add '-320x' to each side of the equation.
-48X + 75i²X + -25i²xX + 320x + 40xX + -88x² + -11x²X + 8x³ + -320x + x³X = 384 + -600i² + 200i²x + -320x

Reorder the terms:
-48X + 75i²X + -25i²xX + 320x + -320x + 40xX + -88x² + -11x²X + 8x³ + x³X = 384 + -600i² + 200i²x + -320x

Combine like terms: 320x + -320x = 0
-48X + 75i²X + -25i²xX + 0 + 40xX + -88x² + -11x²X + 8x³ + x³X = 384 + -600i² + 200i²x + -320x
-48X + 75i²X + -25i²xX + 40xX + -88x² + -11x²X + 8x³ + x³X = 384 + -600i² + 200i²x + -320x

Add '88x²' to each side of the equation.
-48X + 75i²X + -25i²xX + 40xX + -88x² + -11x²X + 8x³ + 88x² + x³X = 384 + -600i² + 200i²x + -320x + 88x²

Reorder the terms:
-48X + 75i²X + -25i²xX + 40xX + -88x² + 88x² + -11x²X + 8x³ + x³X = 384 + -600i² + 200i²x + -320x + 88x²

Combine like terms: -88x² + 88x² = 0
-48X + 75i²X + -25i²xX + 40xX + 0 + -11x²X + 8x³ + x³X = 384 + -600i² + 200i²x + -320x + 88x²
-48X + 75i²X + -25i²xX + 40xX + -11x²X + 8x³ + x³X = 384 + -600i² + 200i²x + -320x + 88x²

Add '-8x³' to each side of the equation.
-48X + 75i²X + -25i²xX + 40xX + -11x²X + 8x³ + -8x³ + x³X = 384 + -600i² + 200i²x + -320x + 88x² + -8x³

Combine like terms: 8x³ + -8x³ = 0
-48X + 75i²X + -25i²xX + 40xX + -11x²X + 0 + x³X = 384 + -600i² + 200i²x + -320x + 88x² + -8x³
-48X + 75i²X + -25i²xX + 40xX + -11x²X + x³X = 384 + -600i² + 200i²x + -320x + 88x² + -8x³

Reorder the terms:
-384 + -48X + 600i² + 75i²X + -200i²x + -25i²xX + 320x + 40xX + -88x² + -11x²X + 8x³ + x³X = 384 + -600i² + 200i²x + -320x + 88x² + -8x³ + -384 + 600i² + -200i²x + 320x + -88x² + 8x³

Reorder the terms:
-384 + -48X + 600i² + 75i²X + -200i²x + -25i²xX + 320x + 40xX + -88x² + -11x²X + 8x³ + x³X = 384 + -384 + -600i² + 600i² + 200i²x + -200i²x + -320x + 320x + 88x² + -88x² + -8x³ + 8x³

Combine like terms: 384 + -384 = 0
-384 + -48X + 600i² + 75i²X + -200i²x + -25i²xX + 320x + 40xX + -88x² + -11x²X + 8x³ + x³X = 0 + -600i² + 600i² + 200i²x + -200i²x + -320x + 320x + 88x² + -88x² + -8x³ + 8x³
-384 + -48X + 600i² + 75i²X + -200i²x + -25i²xX + 320x + 40xX + -88x² + -11x²X + 8x³ + x³X = -600i² + 600i² + 200i²x + -200i²x + -320x + 320x + 88x² + -88x² + -8x³ + 8x³

Combine like terms: -600i² + 600i² = 0
-384 + -48X + 600i² + 75i²X + -200i²x + -25i²xX + 320x + 40xX + -88x² + -11x²X + 8x³ + x³X = 0 + 200i²x + -200i²x + -320x + 320x + 88x² + -88x² + -8x³ + 8x³
-384 + -48X + 600i² + 75i²X + -200i²x + -25i²xX + 320x + 40xX + -88x² + -11x²X + 8x³ + x³X = 200i²x + -200i²x + -320x + 320x + 88x² + -88x² + -8x³ + 8x³

Combine like terms: 200i²x + -200i²x = 0
-384 + -48X + 600i² + 75i²X + -200i²x + -25i²xX + 320x + 40xX + -88x² + -11x²X + 8x³ + x³X = 0 + -320x + 320x + 88x² + -88x² + -8x³ + 8x³
-384 + -48X + 600i² + 75i²X + -200i²x + -25i²xX + 320x + 40xX + -88x² + -11x²X + 8x³ + x³X = -320x + 320x + 88x² + -88x² + -8x³ + 8x³

Combine like terms: -320x + 320x = 0
-384 + -48X + 600i² + 75i²X + -200i²x + -25i²xX + 320x + 40xX + -88x² + -11x²X + 8x³ + x³X = 0 + 88x² + -88x² + -8x³ + 8x³
-384 + -48X + 600i² + 75i²X + -200i²x + -25i²xX + 320x + 40xX + -88x² + -11x²X + 8x³ + x³X = 88x² + -88x² + -8x³ + 8x³

Combine like terms: 88x² + -88x² = 0
-384 + -48X + 600i² + 75i²X + -200i²x + -25i²xX + 320x + 40xX + -88x² + -11x²X + 8x³ + x³X = 0 + -8x³ + 8x³
-384 + -48X + 600i² + 75i²X + -200i²x + -25i²xX + 320x + 40xX + -88x² + -11x²X + 8x³ + x³X = -8x³ + 8x³

Combine like terms: -8x³ + 8x³ = 0
-384 + -48X + 600i² + 75i²X + -200i²x + -25i²xX + 320x + 40xX + -88x² + -11x²X + 8x³ + x³X = 0

The solution to this equation could not be determined.
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(X+8)(x-3)(x-4-5i)(x-4+5i)=0

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