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

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

Reorder the terms:
(-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)

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

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

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

Combine like terms: -40ix² + 40ix² = 0
(-1400 + 0 + -8ix³ + 8ix³ + 3584i² + -640i²x + -64i²x² + 280x + 530x + -106x² + -25x² + 5x³ + -5x³ + x⁴) = f(x)
(-1400 + -8ix³ + 8ix³ + 3584i² + -640i²x + -64i²x² + 280x + 530x + -106x² + -25x² + 5x³ + -5x³ + x⁴) = f(x)

Combine like terms: -8ix³ + 8ix³ = 0
(-1400 + 0 + 3584i² + -640i²x + -64i²x² + 280x + 530x + -106x² + -25x² + 5x³ + -5x³ + x⁴) = f(x)
(-1400 + 3584i² + -640i²x + -64i²x² + 280x + 530x + -106x² + -25x² + 5x³ + -5x³ + x⁴) = f(x)

Combine like terms: 280x + 530x = 810x
(-1400 + 3584i² + -640i²x + -64i²x² + 810x + -106x² + -25x² + 5x³ + -5x³ + x⁴) = f(x)

Combine like terms: -106x² + -25x² = -131x²
(-1400 + 3584i² + -640i²x + -64i²x² + 810x + -131x² + 5x³ + -5x³ + x⁴) = f(x)

Combine like terms: 5x³ + -5x³ = 0
(-1400 + 3584i² + -640i²x + -64i²x² + 810x + -131x² + 0 + x⁴) = f(x)
(-1400 + 3584i² + -640i²x + -64i²x² + 810x + -131x² + x⁴) = f(x)

Multiply f * x
-1400 + 3584i² + -640i²x + -64i²x² + 810x + -131x² + x⁴ = fx

Solving
-1400 + 3584i² + -640i²x + -64i²x² + 810x + -131x² + x⁴ = fx

Solving for variable 'i'.

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

Add '1400' to each side of the equation.
-1400 + 3584i² + -640i²x + -64i²x² + 810x + -131x² + 1400 + x⁴ = 1400 + fx

Reorder the terms:
-1400 + 1400 + 3584i² + -640i²x + -64i²x² + 810x + -131x² + x⁴ = 1400 + fx

Combine like terms: -1400 + 1400 = 0
0 + 3584i² + -640i²x + -64i²x² + 810x + -131x² + x⁴ = 1400 + fx
3584i² + -640i²x + -64i²x² + 810x + -131x² + x⁴ = 1400 + fx

Add '-810x' to each side of the equation.
3584i² + -640i²x + -64i²x² + 810x + -131x² + -810x + x⁴ = 1400 + fx + -810x

Reorder the terms:
3584i² + -640i²x + -64i²x² + 810x + -810x + -131x² + x⁴ = 1400 + fx + -810x

Combine like terms: 810x + -810x = 0
3584i² + -640i²x + -64i²x² + 0 + -131x² + x⁴ = 1400 + fx + -810x
3584i² + -640i²x + -64i²x² + -131x² + x⁴ = 1400 + fx + -810x

Add '131x²' to each side of the equation.
3584i² + -640i²x + -64i²x² + -131x² + 131x² + x⁴ = 1400 + fx + -810x + 131x²

Combine like terms: -131x² + 131x² = 0
3584i² + -640i²x + -64i²x² + 0 + x⁴ = 1400 + fx + -810x + 131x²
3584i² + -640i²x + -64i²x² + x⁴ = 1400 + fx + -810x + 131x²

Add '-1x⁴' to each side of the equation.
3584i² + -640i²x + -64i²x² + x⁴ + -1x⁴ = 1400 + fx + -810x + 131x² + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
3584i² + -640i²x + -64i²x² + 0 = 1400 + fx + -810x + 131x² + -1x⁴
3584i² + -640i²x + -64i²x² = 1400 + fx + -810x + 131x² + -1x⁴

Reorder the terms:
-1400 + -1fx + 3584i² + -640i²x + -64i²x² + 810x + -131x² + x⁴ = 1400 + fx + -810x + 131x² + -1x⁴ + -1400 + -1fx + 810x + -131x² + x⁴

Reorder the terms:
-1400 + -1fx + 3584i² + -640i²x + -64i²x² + 810x + -131x² + x⁴ = 1400 + -1400 + fx + -1fx + -810x + 810x + 131x² + -131x² + -1x⁴ + x⁴

Combine like terms: 1400 + -1400 = 0
-1400 + -1fx + 3584i² + -640i²x + -64i²x² + 810x + -131x² + x⁴ = 0 + fx + -1fx + -810x + 810x + 131x² + -131x² + -1x⁴ + x⁴
-1400 + -1fx + 3584i² + -640i²x + -64i²x² + 810x + -131x² + x⁴ = fx + -1fx + -810x + 810x + 131x² + -131x² + -1x⁴ + x⁴

Combine like terms: fx + -1fx = 0
-1400 + -1fx + 3584i² + -640i²x + -64i²x² + 810x + -131x² + x⁴ = 0 + -810x + 810x + 131x² + -131x² + -1x⁴ + x⁴
-1400 + -1fx + 3584i² + -640i²x + -64i²x² + 810x + -131x² + x⁴ = -810x + 810x + 131x² + -131x² + -1x⁴ + x⁴

Combine like terms: -810x + 810x = 0
-1400 + -1fx + 3584i² + -640i²x + -64i²x² + 810x + -131x² + x⁴ = 0 + 131x² + -131x² + -1x⁴ + x⁴
-1400 + -1fx + 3584i² + -640i²x + -64i²x² + 810x + -131x² + x⁴ = 131x² + -131x² + -1x⁴ + x⁴

Combine like terms: 131x² + -131x² = 0
-1400 + -1fx + 3584i² + -640i²x + -64i²x² + 810x + -131x² + x⁴ = 0 + -1x⁴ + x⁴
-1400 + -1fx + 3584i² + -640i²x + -64i²x² + 810x + -131x² + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
-1400 + -1fx + 3584i² + -640i²x + -64i²x² + 810x + -131x² + 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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