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

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

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

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

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

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

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

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

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

Multiply (-56 + 10x + x²) * (-5 + 8i + x)
(-56(-5 + 8i + x) + 10x * (-5 + 8i + x) + x²(-5 + 8i + x))(5 + 8i + x) = y
((-5 * -56 + 8i * -56 + x * -56) + 10x * (-5 + 8i + x) + x²(-5 + 8i + x))(5 + 8i + x) = y
((280 + -448i + -56x) + 10x * (-5 + 8i + x) + x²(-5 + 8i + x))(5 + 8i + x) = y
(280 + -448i + -56x + (-5 * 10x + 8i * 10x + x * 10x) + x²(-5 + 8i + x))(5 + 8i + x) = y

Reorder the terms:
(280 + -448i + -56x + (80ix + -50x + 10x²) + x²(-5 + 8i + x))(5 + 8i + x) = y
(280 + -448i + -56x + (80ix + -50x + 10x²) + x²(-5 + 8i + x))(5 + 8i + x) = y
(280 + -448i + -56x + 80ix + -50x + 10x² + (-5 * x² + 8i * x² + x * x²))(5 + 8i + x) = y

Reorder the terms:
(280 + -448i + -56x + 80ix + -50x + 10x² + (8ix² + -5x² + x³))(5 + 8i + x) = y
(280 + -448i + -56x + 80ix + -50x + 10x² + (8ix² + -5x² + x³))(5 + 8i + x) = y

Reorder the terms:
(280 + -448i + 80ix + 8ix² + -56x + -50x + 10x² + -5x² + x³)(5 + 8i + x) = y

Combine like terms: -56x + -50x = -106x
(280 + -448i + 80ix + 8ix² + -106x + 10x² + -5x² + x³)(5 + 8i + x) = y

Combine like terms: 10x² + -5x² = 5x²
(280 + -448i + 80ix + 8ix² + -106x + 5x² + x³)(5 + 8i + x) = y

Multiply (280 + -448i + 80ix + 8ix² + -106x + 5x² + x³) * (5 + 8i + x)
(280(5 + 8i + x) + -448i * (5 + 8i + x) + 80ix * (5 + 8i + x) + 8ix² * (5 + 8i + x) + -106x * (5 + 8i + x) + 5x² * (5 + 8i + x) + x³(5 + 8i + x)) = y
((5 * 280 + 8i * 280 + x * 280) + -448i * (5 + 8i + x) + 80ix * (5 + 8i + x) + 8ix² * (5 + 8i + x) + -106x * (5 + 8i + x) + 5x² * (5 + 8i + x) + x³(5 + 8i + x)) = y
((1400 + 2240i + 280x) + -448i * (5 + 8i + x) + 80ix * (5 + 8i + x) + 8ix² * (5 + 8i + x) + -106x * (5 + 8i + x) + 5x² * (5 + 8i + x) + x³(5 + 8i + x)) = y
(1400 + 2240i + 280x + (5 * -448i + 8i * -448i + x * -448i) + 80ix * (5 + 8i + x) + 8ix² * (5 + 8i + x) + -106x * (5 + 8i + x) + 5x² * (5 + 8i + x) + x³(5 + 8i + x)) = y

Reorder the terms:
(1400 + 2240i + 280x + (-2240i + -448ix + -3584i²) + 80ix * (5 + 8i + x) + 8ix² * (5 + 8i + x) + -106x * (5 + 8i + x) + 5x² * (5 + 8i + x) + x³(5 + 8i + x)) = y
(1400 + 2240i + 280x + (-2240i + -448ix + -3584i²) + 80ix * (5 + 8i + x) + 8ix² * (5 + 8i + x) + -106x * (5 + 8i + x) + 5x² * (5 + 8i + x) + x³(5 + 8i + x)) = y
(1400 + 2240i + 280x + -2240i + -448ix + -3584i² + (5 * 80ix + 8i * 80ix + x * 80ix) + 8ix² * (5 + 8i + x) + -106x * (5 + 8i + x) + 5x² * (5 + 8i + x) + x³(5 + 8i + x)) = y

Reorder the terms:
(1400 + 2240i + 280x + -2240i + -448ix + -3584i² + (400ix + 80ix² + 640i²x) + 8ix² * (5 + 8i + x) + -106x * (5 + 8i + x) + 5x² * (5 + 8i + x) + x³(5 + 8i + x)) = y
(1400 + 2240i + 280x + -2240i + -448ix + -3584i² + (400ix + 80ix² + 640i²x) + 8ix² * (5 + 8i + x) + -106x * (5 + 8i + x) + 5x² * (5 + 8i + x) + x³(5 + 8i + x)) = y
(1400 + 2240i + 280x + -2240i + -448ix + -3584i² + 400ix + 80ix² + 640i²x + (5 * 8ix² + 8i * 8ix² + x * 8ix²) + -106x * (5 + 8i + x) + 5x² * (5 + 8i + x) + x³(5 + 8i + x)) = y

Reorder the terms:
(1400 + 2240i + 280x + -2240i + -448ix + -3584i² + 400ix + 80ix² + 640i²x + (40ix² + 8ix³ + 64i²x²) + -106x * (5 + 8i + x) + 5x² * (5 + 8i + x) + x³(5 + 8i + x)) = y
(1400 + 2240i + 280x + -2240i + -448ix + -3584i² + 400ix + 80ix² + 640i²x + (40ix² + 8ix³ + 64i²x²) + -106x * (5 + 8i + x) + 5x² * (5 + 8i + x) + x³(5 + 8i + x)) = y
(1400 + 2240i + 280x + -2240i + -448ix + -3584i² + 400ix + 80ix² + 640i²x + 40ix² + 8ix³ + 64i²x² + (5 * -106x + 8i * -106x + x * -106x) + 5x² * (5 + 8i + x) + x³(5 + 8i + x)) = y

Reorder the terms:
(1400 + 2240i + 280x + -2240i + -448ix + -3584i² + 400ix + 80ix² + 640i²x + 40ix² + 8ix³ + 64i²x² + (-848ix + -530x + -106x²) + 5x² * (5 + 8i + x) + x³(5 + 8i + x)) = y
(1400 + 2240i + 280x + -2240i + -448ix + -3584i² + 400ix + 80ix² + 640i²x + 40ix² + 8ix³ + 64i²x² + (-848ix + -530x + -106x²) + 5x² * (5 + 8i + x) + x³(5 + 8i + x)) = y
(1400 + 2240i + 280x + -2240i + -448ix + -3584i² + 400ix + 80ix² + 640i²x + 40ix² + 8ix³ + 64i²x² + -848ix + -530x + -106x² + (5 * 5x² + 8i * 5x² + x * 5x²) + x³(5 + 8i + x)) = y

Reorder the terms:
(1400 + 2240i + 280x + -2240i + -448ix + -3584i² + 400ix + 80ix² + 640i²x + 40ix² + 8ix³ + 64i²x² + -848ix + -530x + -106x² + (40ix² + 25x² + 5x³) + x³(5 + 8i + x)) = y
(1400 + 2240i + 280x + -2240i + -448ix + -3584i² + 400ix + 80ix² + 640i²x + 40ix² + 8ix³ + 64i²x² + -848ix + -530x + -106x² + (40ix² + 25x² + 5x³) + x³(5 + 8i + x)) = y
(1400 + 2240i + 280x + -2240i + -448ix + -3584i² + 400ix + 80ix² + 640i²x + 40ix² + 8ix³ + 64i²x² + -848ix + -530x + -106x² + 40ix² + 25x² + 5x³ + (5 * x³ + 8i * x³ + x * x³)) = y

Reorder the terms:
(1400 + 2240i + 280x + -2240i + -448ix + -3584i² + 400ix + 80ix² + 640i²x + 40ix² + 8ix³ + 64i²x² + -848ix + -530x + -106x² + 40ix² + 25x² + 5x³ + (8ix³ + 5x³ + x⁴)) = y
(1400 + 2240i + 280x + -2240i + -448ix + -3584i² + 400ix + 80ix² + 640i²x + 40ix² + 8ix³ + 64i²x² + -848ix + -530x + -106x² + 40ix² + 25x² + 5x³ + (8ix³ + 5x³ + x⁴)) = y

Reorder the terms:
(1400 + 2240i + -2240i + -448ix + 400ix + -848ix + 80ix² + 40ix² + 40ix² + 8ix³ + 8ix³ + -3584i² + 640i²x + 64i²x² + 280x + -530x + -106x² + 25x² + 5x³ + 5x³ + x⁴) = y

Combine like terms: 2240i + -2240i = 0
(1400 + 0 + -448ix + 400ix + -848ix + 80ix² + 40ix² + 40ix² + 8ix³ + 8ix³ + -3584i² + 640i²x + 64i²x² + 280x + -530x + -106x² + 25x² + 5x³ + 5x³ + x⁴) = y
(1400 + -448ix + 400ix + -848ix + 80ix² + 40ix² + 40ix² + 8ix³ + 8ix³ + -3584i² + 640i²x + 64i²x² + 280x + -530x + -106x² + 25x² + 5x³ + 5x³ + x⁴) = y

Combine like terms: -448ix + 400ix = -48ix
(1400 + -48ix + -848ix + 80ix² + 40ix² + 40ix² + 8ix³ + 8ix³ + -3584i² + 640i²x + 64i²x² + 280x + -530x + -106x² + 25x² + 5x³ + 5x³ + x⁴) = y

Combine like terms: -48ix + -848ix = -896ix
(1400 + -896ix + 80ix² + 40ix² + 40ix² + 8ix³ + 8ix³ + -3584i² + 640i²x + 64i²x² + 280x + -530x + -106x² + 25x² + 5x³ + 5x³ + x⁴) = y

Combine like terms: 80ix² + 40ix² = 120ix²
(1400 + -896ix + 120ix² + 40ix² + 8ix³ + 8ix³ + -3584i² + 640i²x + 64i²x² + 280x + -530x + -106x² + 25x² + 5x³ + 5x³ + x⁴) = y

Combine like terms: 120ix² + 40ix² = 160ix²
(1400 + -896ix + 160ix² + 8ix³ + 8ix³ + -3584i² + 640i²x + 64i²x² + 280x + -530x + -106x² + 25x² + 5x³ + 5x³ + x⁴) = y

Combine like terms: 8ix³ + 8ix³ = 16ix³
(1400 + -896ix + 160ix² + 16ix³ + -3584i² + 640i²x + 64i²x² + 280x + -530x + -106x² + 25x² + 5x³ + 5x³ + x⁴) = y

Combine like terms: 280x + -530x = -250x
(1400 + -896ix + 160ix² + 16ix³ + -3584i² + 640i²x + 64i²x² + -250x + -106x² + 25x² + 5x³ + 5x³ + x⁴) = y

Combine like terms: -106x² + 25x² = -81x²
(1400 + -896ix + 160ix² + 16ix³ + -3584i² + 640i²x + 64i²x² + -250x + -81x² + 5x³ + 5x³ + x⁴) = y

Combine like terms: 5x³ + 5x³ = 10x³
(1400 + -896ix + 160ix² + 16ix³ + -3584i² + 640i²x + 64i²x² + -250x + -81x² + 10x³ + x⁴) = y

Solving
1400 + -896ix + 160ix² + 16ix³ + -3584i² + 640i²x + 64i²x² + -250x + -81x² + 10x³ + x⁴ = y

Solving for variable 'i'.

Combine like terms: y + -1y = 0
1400 + -896ix + 160ix² + 16ix³ + -3584i² + 640i²x + 64i²x² + -250x + -81x² + 10x³ + x⁴ + -1y = 0

The solution to this equation could not be determined.

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

Simple and best practice solution for (x-4)(x+14)(x-5+8i)(x+5+8i)=y 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+8i)(x+5+8i)=y equation:

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