(x-4)(x+14)(x-5)(x+8i)(x-8i)=

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Solution for (x-4)(x+14)(x-5)(x+8i)(x-8i)= equation:

Simplifying
(x + -4)(x + 14)(x + -5)(x + 8i)(x + -8i) = 0

Reorder the terms:
(-4 + x)(x + 14)(x + -5)(x + 8i)(x + -8i) = 0

Reorder the terms:
(-4 + x)(14 + x)(x + -5)(x + 8i)(x + -8i) = 0

Reorder the terms:
(-4 + x)(14 + x)(-5 + x)(x + 8i)(x + -8i) = 0

Reorder the terms:
(-4 + x)(14 + x)(-5 + x)(8i + x)(x + -8i) = 0

Reorder the terms:
(-4 + x)(14 + x)(-5 + x)(8i + x)(-8i + x) = 0

Multiply (-4 + x) * (14 + x)
(-4(14 + x) + x(14 + x))(-5 + x)(8i + x)(-8i + x) = 0
((14 * -4 + x * -4) + x(14 + x))(-5 + x)(8i + x)(-8i + x) = 0
((-56 + -4x) + x(14 + x))(-5 + x)(8i + x)(-8i + x) = 0
(-56 + -4x + (14 * x + x * x))(-5 + x)(8i + x)(-8i + x) = 0
(-56 + -4x + (14x + x²))(-5 + x)(8i + x)(-8i + x) = 0

Combine like terms: -4x + 14x = 10x
(-56 + 10x + x²)(-5 + x)(8i + x)(-8i + x) = 0

Multiply (-56 + 10x + x²) * (-5 + x)
(-56(-5 + x) + 10x * (-5 + x) + x²(-5 + x))(8i + x)(-8i + x) = 0
((-5 * -56 + x * -56) + 10x * (-5 + x) + x²(-5 + x))(8i + x)(-8i + x) = 0
((280 + -56x) + 10x * (-5 + x) + x²(-5 + x))(8i + x)(-8i + x) = 0
(280 + -56x + (-5 * 10x + x * 10x) + x²(-5 + x))(8i + x)(-8i + x) = 0
(280 + -56x + (-50x + 10x²) + x²(-5 + x))(8i + x)(-8i + x) = 0
(280 + -56x + -50x + 10x² + (-5 * x² + x * x²))(8i + x)(-8i + x) = 0
(280 + -56x + -50x + 10x² + (-5x² + x³))(8i + x)(-8i + x) = 0

Combine like terms: -56x + -50x = -106x
(280 + -106x + 10x² + -5x² + x³)(8i + x)(-8i + x) = 0

Combine like terms: 10x² + -5x² = 5x²
(280 + -106x + 5x² + x³)(8i + x)(-8i + x) = 0

Multiply (280 + -106x + 5x² + x³) * (8i + x)
(280(8i + x) + -106x * (8i + x) + 5x² * (8i + x) + x³(8i + x))(-8i + x) = 0
((8i * 280 + x * 280) + -106x * (8i + x) + 5x² * (8i + x) + x³(8i + x))(-8i + x) = 0
((2240i + 280x) + -106x * (8i + x) + 5x² * (8i + x) + x³(8i + x))(-8i + x) = 0
(2240i + 280x + (8i * -106x + x * -106x) + 5x² * (8i + x) + x³(8i + x))(-8i + x) = 0
(2240i + 280x + (-848ix + -106x²) + 5x² * (8i + x) + x³(8i + x))(-8i + x) = 0
(2240i + 280x + -848ix + -106x² + (8i * 5x² + x * 5x²) + x³(8i + x))(-8i + x) = 0
(2240i + 280x + -848ix + -106x² + (40ix² + 5x³) + x³(8i + x))(-8i + x) = 0
(2240i + 280x + -848ix + -106x² + 40ix² + 5x³ + (8i * x³ + x * x³))(-8i + x) = 0
(2240i + 280x + -848ix + -106x² + 40ix² + 5x³ + (8ix³ + x⁴))(-8i + x) = 0

Reorder the terms:
(2240i + -848ix + 40ix² + 8ix³ + 280x + -106x² + 5x³ + x⁴)(-8i + x) = 0
(2240i + -848ix + 40ix² + 8ix³ + 280x + -106x² + 5x³ + x⁴)(-8i + x) = 0

Multiply (2240i + -848ix + 40ix² + 8ix³ + 280x + -106x² + 5x³ + x⁴) * (-8i + x)
(2240i * (-8i + x) + -848ix * (-8i + x) + 40ix² * (-8i + x) + 8ix³ * (-8i + x) + 280x * (-8i + x) + -106x² * (-8i + x) + 5x³ * (-8i + x) + x⁴(-8i + x)) = 0
((-8i * 2240i + x * 2240i) + -848ix * (-8i + x) + 40ix² * (-8i + x) + 8ix³ * (-8i + x) + 280x * (-8i + x) + -106x² * (-8i + x) + 5x³ * (-8i + x) + x⁴(-8i + x)) = 0

Reorder the terms:
((2240ix + -17920i²) + -848ix * (-8i + x) + 40ix² * (-8i + x) + 8ix³ * (-8i + x) + 280x * (-8i + x) + -106x² * (-8i + x) + 5x³ * (-8i + x) + x⁴(-8i + x)) = 0
((2240ix + -17920i²) + -848ix * (-8i + x) + 40ix² * (-8i + x) + 8ix³ * (-8i + x) + 280x * (-8i + x) + -106x² * (-8i + x) + 5x³ * (-8i + x) + x⁴(-8i + x)) = 0
(2240ix + -17920i² + (-8i * -848ix + x * -848ix) + 40ix² * (-8i + x) + 8ix³ * (-8i + x) + 280x * (-8i + x) + -106x² * (-8i + x) + 5x³ * (-8i + x) + x⁴(-8i + x)) = 0

Reorder the terms:
(2240ix + -17920i² + (-848ix² + 6784i²x) + 40ix² * (-8i + x) + 8ix³ * (-8i + x) + 280x * (-8i + x) + -106x² * (-8i + x) + 5x³ * (-8i + x) + x⁴(-8i + x)) = 0
(2240ix + -17920i² + (-848ix² + 6784i²x) + 40ix² * (-8i + x) + 8ix³ * (-8i + x) + 280x * (-8i + x) + -106x² * (-8i + x) + 5x³ * (-8i + x) + x⁴(-8i + x)) = 0
(2240ix + -17920i² + -848ix² + 6784i²x + (-8i * 40ix² + x * 40ix²) + 8ix³ * (-8i + x) + 280x * (-8i + x) + -106x² * (-8i + x) + 5x³ * (-8i + x) + x⁴(-8i + x)) = 0

Reorder the terms:
(2240ix + -17920i² + -848ix² + 6784i²x + (40ix³ + -320i²x²) + 8ix³ * (-8i + x) + 280x * (-8i + x) + -106x² * (-8i + x) + 5x³ * (-8i + x) + x⁴(-8i + x)) = 0
(2240ix + -17920i² + -848ix² + 6784i²x + (40ix³ + -320i²x²) + 8ix³ * (-8i + x) + 280x * (-8i + x) + -106x² * (-8i + x) + 5x³ * (-8i + x) + x⁴(-8i + x)) = 0
(2240ix + -17920i² + -848ix² + 6784i²x + 40ix³ + -320i²x² + (-8i * 8ix³ + x * 8ix³) + 280x * (-8i + x) + -106x² * (-8i + x) + 5x³ * (-8i + x) + x⁴(-8i + x)) = 0

Reorder the terms:
(2240ix + -17920i² + -848ix² + 6784i²x + 40ix³ + -320i²x² + (8ix⁴ + -64i²x³) + 280x * (-8i + x) + -106x² * (-8i + x) + 5x³ * (-8i + x) + x⁴(-8i + x)) = 0
(2240ix + -17920i² + -848ix² + 6784i²x + 40ix³ + -320i²x² + (8ix⁴ + -64i²x³) + 280x * (-8i + x) + -106x² * (-8i + x) + 5x³ * (-8i + x) + x⁴(-8i + x)) = 0
(2240ix + -17920i² + -848ix² + 6784i²x + 40ix³ + -320i²x² + 8ix⁴ + -64i²x³ + (-8i * 280x + x * 280x) + -106x² * (-8i + x) + 5x³ * (-8i + x) + x⁴(-8i + x)) = 0
(2240ix + -17920i² + -848ix² + 6784i²x + 40ix³ + -320i²x² + 8ix⁴ + -64i²x³ + (-2240ix + 280x²) + -106x² * (-8i + x) + 5x³ * (-8i + x) + x⁴(-8i + x)) = 0
(2240ix + -17920i² + -848ix² + 6784i²x + 40ix³ + -320i²x² + 8ix⁴ + -64i²x³ + -2240ix + 280x² + (-8i * -106x² + x * -106x²) + 5x³ * (-8i + x) + x⁴(-8i + x)) = 0
(2240ix + -17920i² + -848ix² + 6784i²x + 40ix³ + -320i²x² + 8ix⁴ + -64i²x³ + -2240ix + 280x² + (848ix² + -106x³) + 5x³ * (-8i + x) + x⁴(-8i + x)) = 0
(2240ix + -17920i² + -848ix² + 6784i²x + 40ix³ + -320i²x² + 8ix⁴ + -64i²x³ + -2240ix + 280x² + 848ix² + -106x³ + (-8i * 5x³ + x * 5x³) + x⁴(-8i + x)) = 0
(2240ix + -17920i² + -848ix² + 6784i²x + 40ix³ + -320i²x² + 8ix⁴ + -64i²x³ + -2240ix + 280x² + 848ix² + -106x³ + (-40ix³ + 5x⁴) + x⁴(-8i + x)) = 0
(2240ix + -17920i² + -848ix² + 6784i²x + 40ix³ + -320i²x² + 8ix⁴ + -64i²x³ + -2240ix + 280x² + 848ix² + -106x³ + -40ix³ + 5x⁴ + (-8i * x⁴ + x * x⁴)) = 0
(2240ix + -17920i² + -848ix² + 6784i²x + 40ix³ + -320i²x² + 8ix⁴ + -64i²x³ + -2240ix + 280x² + 848ix² + -106x³ + -40ix³ + 5x⁴ + (-8ix⁴ + x⁵)) = 0

Reorder the terms:
(2240ix + -2240ix + -848ix² + 848ix² + 40ix³ + -40ix³ + 8ix⁴ + -8ix⁴ + -17920i² + 6784i²x + -320i²x² + -64i²x³ + 280x² + -106x³ + 5x⁴ + x⁵) = 0

Combine like terms: 2240ix + -2240ix = 0
(0 + -848ix² + 848ix² + 40ix³ + -40ix³ + 8ix⁴ + -8ix⁴ + -17920i² + 6784i²x + -320i²x² + -64i²x³ + 280x² + -106x³ + 5x⁴ + x⁵) = 0
(-848ix² + 848ix² + 40ix³ + -40ix³ + 8ix⁴ + -8ix⁴ + -17920i² + 6784i²x + -320i²x² + -64i²x³ + 280x² + -106x³ + 5x⁴ + x⁵) = 0

Combine like terms: -848ix² + 848ix² = 0
(0 + 40ix³ + -40ix³ + 8ix⁴ + -8ix⁴ + -17920i² + 6784i²x + -320i²x² + -64i²x³ + 280x² + -106x³ + 5x⁴ + x⁵) = 0
(40ix³ + -40ix³ + 8ix⁴ + -8ix⁴ + -17920i² + 6784i²x + -320i²x² + -64i²x³ + 280x² + -106x³ + 5x⁴ + x⁵) = 0

Combine like terms: 40ix³ + -40ix³ = 0
(0 + 8ix⁴ + -8ix⁴ + -17920i² + 6784i²x + -320i²x² + -64i²x³ + 280x² + -106x³ + 5x⁴ + x⁵) = 0
(8ix⁴ + -8ix⁴ + -17920i² + 6784i²x + -320i²x² + -64i²x³ + 280x² + -106x³ + 5x⁴ + x⁵) = 0

Combine like terms: 8ix⁴ + -8ix⁴ = 0
(0 + -17920i² + 6784i²x + -320i²x² + -64i²x³ + 280x² + -106x³ + 5x⁴ + x⁵) = 0
(-17920i² + 6784i²x + -320i²x² + -64i²x³ + 280x² + -106x³ + 5x⁴ + x⁵) = 0

Solving
-17920i² + 6784i²x + -320i²x² + -64i²x³ + 280x² + -106x³ + 5x⁴ + x⁵ = 0

Solving for variable 'i'.

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

Add '-280x²' to each side of the equation.
-17920i² + 6784i²x + -320i²x² + -64i²x³ + 280x² + -106x³ + 5x⁴ + -280x² + x⁵ = 0 + -280x²

Reorder the terms:
-17920i² + 6784i²x + -320i²x² + -64i²x³ + 280x² + -280x² + -106x³ + 5x⁴ + x⁵ = 0 + -280x²

Combine like terms: 280x² + -280x² = 0
-17920i² + 6784i²x + -320i²x² + -64i²x³ + 0 + -106x³ + 5x⁴ + x⁵ = 0 + -280x²
-17920i² + 6784i²x + -320i²x² + -64i²x³ + -106x³ + 5x⁴ + x⁵ = 0 + -280x²
Remove the zero:
-17920i² + 6784i²x + -320i²x² + -64i²x³ + -106x³ + 5x⁴ + x⁵ = -280x²

Add '106x³' to each side of the equation.
-17920i² + 6784i²x + -320i²x² + -64i²x³ + -106x³ + 5x⁴ + 106x³ + x⁵ = -280x² + 106x³

Reorder the terms:
-17920i² + 6784i²x + -320i²x² + -64i²x³ + -106x³ + 106x³ + 5x⁴ + x⁵ = -280x² + 106x³

Combine like terms: -106x³ + 106x³ = 0
-17920i² + 6784i²x + -320i²x² + -64i²x³ + 0 + 5x⁴ + x⁵ = -280x² + 106x³
-17920i² + 6784i²x + -320i²x² + -64i²x³ + 5x⁴ + x⁵ = -280x² + 106x³

Add '-5x⁴' to each side of the equation.
-17920i² + 6784i²x + -320i²x² + -64i²x³ + 5x⁴ + -5x⁴ + x⁵ = -280x² + 106x³ + -5x⁴

Combine like terms: 5x⁴ + -5x⁴ = 0
-17920i² + 6784i²x + -320i²x² + -64i²x³ + 0 + x⁵ = -280x² + 106x³ + -5x⁴
-17920i² + 6784i²x + -320i²x² + -64i²x³ + x⁵ = -280x² + 106x³ + -5x⁴

Add '-1x⁵' to each side of the equation.
-17920i² + 6784i²x + -320i²x² + -64i²x³ + x⁵ + -1x⁵ = -280x² + 106x³ + -5x⁴ + -1x⁵

Combine like terms: x⁵ + -1x⁵ = 0
-17920i² + 6784i²x + -320i²x² + -64i²x³ + 0 = -280x² + 106x³ + -5x⁴ + -1x⁵
-17920i² + 6784i²x + -320i²x² + -64i²x³ = -280x² + 106x³ + -5x⁴ + -1x⁵

Reorder the terms:
-17920i² + 6784i²x + -320i²x² + -64i²x³ + 280x² + -106x³ + 5x⁴ + x⁵ = -280x² + 280x² + 106x³ + -106x³ + -5x⁴ + 5x⁴ + -1x⁵ + x⁵

Combine like terms: -280x² + 280x² = 0
-17920i² + 6784i²x + -320i²x² + -64i²x³ + 280x² + -106x³ + 5x⁴ + x⁵ = 0 + 106x³ + -106x³ + -5x⁴ + 5x⁴ + -1x⁵ + x⁵
-17920i² + 6784i²x + -320i²x² + -64i²x³ + 280x² + -106x³ + 5x⁴ + x⁵ = 106x³ + -106x³ + -5x⁴ + 5x⁴ + -1x⁵ + x⁵

Combine like terms: 106x³ + -106x³ = 0
-17920i² + 6784i²x + -320i²x² + -64i²x³ + 280x² + -106x³ + 5x⁴ + x⁵ = 0 + -5x⁴ + 5x⁴ + -1x⁵ + x⁵
-17920i² + 6784i²x + -320i²x² + -64i²x³ + 280x² + -106x³ + 5x⁴ + x⁵ = -5x⁴ + 5x⁴ + -1x⁵ + x⁵

Combine like terms: -5x⁴ + 5x⁴ = 0
-17920i² + 6784i²x + -320i²x² + -64i²x³ + 280x² + -106x³ + 5x⁴ + x⁵ = 0 + -1x⁵ + x⁵
-17920i² + 6784i²x + -320i²x² + -64i²x³ + 280x² + -106x³ + 5x⁴ + x⁵ = -1x⁵ + x⁵

Combine like terms: -1x⁵ + x⁵ = 0
-17920i² + 6784i²x + -320i²x² + -64i²x³ + 280x² + -106x³ + 5x⁴ + x⁵ = 0

The solution to this equation could not be determined.

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(x-4)(x+14)(x-5)(x+8i)(x-8i)=

Simple and best practice solution for (x-4)(x+14)(x-5)(x+8i)(x-8i)= equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

Solution for (x-4)(x+14)(x-5)(x+8i)(x-8i)= equation:

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