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

Simple and best practice solution for (x-4)(x+14)(x-(5+8i))(x+(5-8i))=f(x) 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.

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

Simplifying
(x + -4)(x + 14)(x + -1(5 + 8i))(x + (5 + -8i)) = f(x)

Reorder the terms:
(-4 + x)(x + 14)(x + -1(5 + 8i))(x + (5 + -8i)) = f(x)

Reorder the terms:
(-4 + x)(14 + x)(x + -1(5 + 8i))(x + (5 + -8i)) = f(x)
(-4 + x)(14 + x)(x + (5 * -1 + 8i * -1))(x + (5 + -8i)) = f(x)
(-4 + x)(14 + x)(x + (-5 + -8i))(x + (5 + -8i)) = f(x)

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

Remove parenthesis around (5 + -8i)
(-4 + x)(14 + x)(-5 + -8i + x)(x + 5 + -8i) = f(x)

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

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

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

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

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

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

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

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

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

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)) = f(x)
((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)) = f(x)
((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)) = f(x)
(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)) = f(x)

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)) = f(x)
(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)) = f(x)
(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)) = f(x)

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)) = f(x)
(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)) = f(x)
(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)) = f(x)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Multiply f * x
1400 + 896ix + -160ix² + -16ix³ + -3584i² + 640i²x + 64i²x² + -250x + -81x² + 10x³ + x⁴ = fx

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

Solving for variable 'i'.

Reorder the terms:
1400 + -1fx + 896ix + -160ix² + -16ix³ + -3584i² + 640i²x + 64i²x² + -250x + -81x² + 10x³ + x⁴ = fx + -1fx

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

The solution to this equation could not be determined.

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

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

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