f(x)=(3-x)(-13-x)(5+4i-x)(5-4i-x)

Simple and best practice solution for f(x)=(3-x)(-13-x)(5+4i-x)(5-4i-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 f(x)=(3-x)(-13-x)(5+4i-x)(5-4i-x) equation:

Simplifying
f(x) = (3 + -1x)(-13 + -1x)(5 + 4i + -1x)(5 + -4i + -1x)

Multiply f * x
fx = (3 + -1x)(-13 + -1x)(5 + 4i + -1x)(5 + -4i + -1x)

Multiply (3 + -1x) * (-13 + -1x)
fx = (3(-13 + -1x) + -1x * (-13 + -1x))(5 + 4i + -1x)(5 + -4i + -1x)
fx = ((-13 * 3 + -1x * 3) + -1x * (-13 + -1x))(5 + 4i + -1x)(5 + -4i + -1x)
fx = ((-39 + -3x) + -1x * (-13 + -1x))(5 + 4i + -1x)(5 + -4i + -1x)
fx = (-39 + -3x + (-13 * -1x + -1x * -1x))(5 + 4i + -1x)(5 + -4i + -1x)
fx = (-39 + -3x + (13x + 1x²))(5 + 4i + -1x)(5 + -4i + -1x)

Combine like terms: -3x + 13x = 10x
fx = (-39 + 10x + 1x²)(5 + 4i + -1x)(5 + -4i + -1x)

Multiply (-39 + 10x + 1x²) * (5 + 4i + -1x)
fx = (-39(5 + 4i + -1x) + 10x * (5 + 4i + -1x) + 1x² * (5 + 4i + -1x))(5 + -4i + -1x)
fx = ((5 * -39 + 4i * -39 + -1x * -39) + 10x * (5 + 4i + -1x) + 1x² * (5 + 4i + -1x))(5 + -4i + -1x)
fx = ((-195 + -156i + 39x) + 10x * (5 + 4i + -1x) + 1x² * (5 + 4i + -1x))(5 + -4i + -1x)
fx = (-195 + -156i + 39x + (5 * 10x + 4i * 10x + -1x * 10x) + 1x² * (5 + 4i + -1x))(5 + -4i + -1x)

Reorder the terms:
fx = (-195 + -156i + 39x + (40ix + 50x + -10x²) + 1x² * (5 + 4i + -1x))(5 + -4i + -1x)
fx = (-195 + -156i + 39x + (40ix + 50x + -10x²) + 1x² * (5 + 4i + -1x))(5 + -4i + -1x)
fx = (-195 + -156i + 39x + 40ix + 50x + -10x² + (5 * 1x² + 4i * 1x² + -1x * 1x²))(5 + -4i + -1x)

Reorder the terms:
fx = (-195 + -156i + 39x + 40ix + 50x + -10x² + (4ix² + 5x² + -1x³))(5 + -4i + -1x)
fx = (-195 + -156i + 39x + 40ix + 50x + -10x² + (4ix² + 5x² + -1x³))(5 + -4i + -1x)

Reorder the terms:
fx = (-195 + -156i + 40ix + 4ix² + 39x + 50x + -10x² + 5x² + -1x³)(5 + -4i + -1x)

Combine like terms: 39x + 50x = 89x
fx = (-195 + -156i + 40ix + 4ix² + 89x + -10x² + 5x² + -1x³)(5 + -4i + -1x)

Combine like terms: -10x² + 5x² = -5x²
fx = (-195 + -156i + 40ix + 4ix² + 89x + -5x² + -1x³)(5 + -4i + -1x)

Multiply (-195 + -156i + 40ix + 4ix² + 89x + -5x² + -1x³) * (5 + -4i + -1x)
fx = (-195(5 + -4i + -1x) + -156i * (5 + -4i + -1x) + 40ix * (5 + -4i + -1x) + 4ix² * (5 + -4i + -1x) + 89x * (5 + -4i + -1x) + -5x² * (5 + -4i + -1x) + -1x³ * (5 + -4i + -1x))
fx = ((5 * -195 + -4i * -195 + -1x * -195) + -156i * (5 + -4i + -1x) + 40ix * (5 + -4i + -1x) + 4ix² * (5 + -4i + -1x) + 89x * (5 + -4i + -1x) + -5x² * (5 + -4i + -1x) + -1x³ * (5 + -4i + -1x))
fx = ((-975 + 780i + 195x) + -156i * (5 + -4i + -1x) + 40ix * (5 + -4i + -1x) + 4ix² * (5 + -4i + -1x) + 89x * (5 + -4i + -1x) + -5x² * (5 + -4i + -1x) + -1x³ * (5 + -4i + -1x))
fx = (-975 + 780i + 195x + (5 * -156i + -4i * -156i + -1x * -156i) + 40ix * (5 + -4i + -1x) + 4ix² * (5 + -4i + -1x) + 89x * (5 + -4i + -1x) + -5x² * (5 + -4i + -1x) + -1x³ * (5 + -4i + -1x))

Reorder the terms:
fx = (-975 + 780i + 195x + (-780i + 156ix + 624i²) + 40ix * (5 + -4i + -1x) + 4ix² * (5 + -4i + -1x) + 89x * (5 + -4i + -1x) + -5x² * (5 + -4i + -1x) + -1x³ * (5 + -4i + -1x))
fx = (-975 + 780i + 195x + (-780i + 156ix + 624i²) + 40ix * (5 + -4i + -1x) + 4ix² * (5 + -4i + -1x) + 89x * (5 + -4i + -1x) + -5x² * (5 + -4i + -1x) + -1x³ * (5 + -4i + -1x))
fx = (-975 + 780i + 195x + -780i + 156ix + 624i² + (5 * 40ix + -4i * 40ix + -1x * 40ix) + 4ix² * (5 + -4i + -1x) + 89x * (5 + -4i + -1x) + -5x² * (5 + -4i + -1x) + -1x³ * (5 + -4i + -1x))

Reorder the terms:
fx = (-975 + 780i + 195x + -780i + 156ix + 624i² + (200ix + -40ix² + -160i²x) + 4ix² * (5 + -4i + -1x) + 89x * (5 + -4i + -1x) + -5x² * (5 + -4i + -1x) + -1x³ * (5 + -4i + -1x))
fx = (-975 + 780i + 195x + -780i + 156ix + 624i² + (200ix + -40ix² + -160i²x) + 4ix² * (5 + -4i + -1x) + 89x * (5 + -4i + -1x) + -5x² * (5 + -4i + -1x) + -1x³ * (5 + -4i + -1x))
fx = (-975 + 780i + 195x + -780i + 156ix + 624i² + 200ix + -40ix² + -160i²x + (5 * 4ix² + -4i * 4ix² + -1x * 4ix²) + 89x * (5 + -4i + -1x) + -5x² * (5 + -4i + -1x) + -1x³ * (5 + -4i + -1x))

Reorder the terms:
fx = (-975 + 780i + 195x + -780i + 156ix + 624i² + 200ix + -40ix² + -160i²x + (20ix² + -4ix³ + -16i²x²) + 89x * (5 + -4i + -1x) + -5x² * (5 + -4i + -1x) + -1x³ * (5 + -4i + -1x))
fx = (-975 + 780i + 195x + -780i + 156ix + 624i² + 200ix + -40ix² + -160i²x + (20ix² + -4ix³ + -16i²x²) + 89x * (5 + -4i + -1x) + -5x² * (5 + -4i + -1x) + -1x³ * (5 + -4i + -1x))
fx = (-975 + 780i + 195x + -780i + 156ix + 624i² + 200ix + -40ix² + -160i²x + 20ix² + -4ix³ + -16i²x² + (5 * 89x + -4i * 89x + -1x * 89x) + -5x² * (5 + -4i + -1x) + -1x³ * (5 + -4i + -1x))

Reorder the terms:
fx = (-975 + 780i + 195x + -780i + 156ix + 624i² + 200ix + -40ix² + -160i²x + 20ix² + -4ix³ + -16i²x² + (-356ix + 445x + -89x²) + -5x² * (5 + -4i + -1x) + -1x³ * (5 + -4i + -1x))
fx = (-975 + 780i + 195x + -780i + 156ix + 624i² + 200ix + -40ix² + -160i²x + 20ix² + -4ix³ + -16i²x² + (-356ix + 445x + -89x²) + -5x² * (5 + -4i + -1x) + -1x³ * (5 + -4i + -1x))
fx = (-975 + 780i + 195x + -780i + 156ix + 624i² + 200ix + -40ix² + -160i²x + 20ix² + -4ix³ + -16i²x² + -356ix + 445x + -89x² + (5 * -5x² + -4i * -5x² + -1x * -5x²) + -1x³ * (5 + -4i + -1x))

Reorder the terms:
fx = (-975 + 780i + 195x + -780i + 156ix + 624i² + 200ix + -40ix² + -160i²x + 20ix² + -4ix³ + -16i²x² + -356ix + 445x + -89x² + (20ix² + -25x² + 5x³) + -1x³ * (5 + -4i + -1x))
fx = (-975 + 780i + 195x + -780i + 156ix + 624i² + 200ix + -40ix² + -160i²x + 20ix² + -4ix³ + -16i²x² + -356ix + 445x + -89x² + (20ix² + -25x² + 5x³) + -1x³ * (5 + -4i + -1x))
fx = (-975 + 780i + 195x + -780i + 156ix + 624i² + 200ix + -40ix² + -160i²x + 20ix² + -4ix³ + -16i²x² + -356ix + 445x + -89x² + 20ix² + -25x² + 5x³ + (5 * -1x³ + -4i * -1x³ + -1x * -1x³))

Reorder the terms:
fx = (-975 + 780i + 195x + -780i + 156ix + 624i² + 200ix + -40ix² + -160i²x + 20ix² + -4ix³ + -16i²x² + -356ix + 445x + -89x² + 20ix² + -25x² + 5x³ + (4ix³ + -5x³ + 1x⁴))
fx = (-975 + 780i + 195x + -780i + 156ix + 624i² + 200ix + -40ix² + -160i²x + 20ix² + -4ix³ + -16i²x² + -356ix + 445x + -89x² + 20ix² + -25x² + 5x³ + (4ix³ + -5x³ + 1x⁴))

Reorder the terms:
fx = (-975 + 780i + -780i + 156ix + 200ix + -356ix + -40ix² + 20ix² + 20ix² + -4ix³ + 4ix³ + 624i² + -160i²x + -16i²x² + 195x + 445x + -89x² + -25x² + 5x³ + -5x³ + 1x⁴)

Combine like terms: 780i + -780i = 0
fx = (-975 + 0 + 156ix + 200ix + -356ix + -40ix² + 20ix² + 20ix² + -4ix³ + 4ix³ + 624i² + -160i²x + -16i²x² + 195x + 445x + -89x² + -25x² + 5x³ + -5x³ + 1x⁴)
fx = (-975 + 156ix + 200ix + -356ix + -40ix² + 20ix² + 20ix² + -4ix³ + 4ix³ + 624i² + -160i²x + -16i²x² + 195x + 445x + -89x² + -25x² + 5x³ + -5x³ + 1x⁴)

Combine like terms: 156ix + 200ix = 356ix
fx = (-975 + 356ix + -356ix + -40ix² + 20ix² + 20ix² + -4ix³ + 4ix³ + 624i² + -160i²x + -16i²x² + 195x + 445x + -89x² + -25x² + 5x³ + -5x³ + 1x⁴)

Combine like terms: 356ix + -356ix = 0
fx = (-975 + 0 + -40ix² + 20ix² + 20ix² + -4ix³ + 4ix³ + 624i² + -160i²x + -16i²x² + 195x + 445x + -89x² + -25x² + 5x³ + -5x³ + 1x⁴)
fx = (-975 + -40ix² + 20ix² + 20ix² + -4ix³ + 4ix³ + 624i² + -160i²x + -16i²x² + 195x + 445x + -89x² + -25x² + 5x³ + -5x³ + 1x⁴)

Combine like terms: -40ix² + 20ix² = -20ix²
fx = (-975 + -20ix² + 20ix² + -4ix³ + 4ix³ + 624i² + -160i²x + -16i²x² + 195x + 445x + -89x² + -25x² + 5x³ + -5x³ + 1x⁴)

Combine like terms: -20ix² + 20ix² = 0
fx = (-975 + 0 + -4ix³ + 4ix³ + 624i² + -160i²x + -16i²x² + 195x + 445x + -89x² + -25x² + 5x³ + -5x³ + 1x⁴)
fx = (-975 + -4ix³ + 4ix³ + 624i² + -160i²x + -16i²x² + 195x + 445x + -89x² + -25x² + 5x³ + -5x³ + 1x⁴)

Combine like terms: -4ix³ + 4ix³ = 0
fx = (-975 + 0 + 624i² + -160i²x + -16i²x² + 195x + 445x + -89x² + -25x² + 5x³ + -5x³ + 1x⁴)
fx = (-975 + 624i² + -160i²x + -16i²x² + 195x + 445x + -89x² + -25x² + 5x³ + -5x³ + 1x⁴)

Combine like terms: 195x + 445x = 640x
fx = (-975 + 624i² + -160i²x + -16i²x² + 640x + -89x² + -25x² + 5x³ + -5x³ + 1x⁴)

Combine like terms: -89x² + -25x² = -114x²
fx = (-975 + 624i² + -160i²x + -16i²x² + 640x + -114x² + 5x³ + -5x³ + 1x⁴)

Combine like terms: 5x³ + -5x³ = 0
fx = (-975 + 624i² + -160i²x + -16i²x² + 640x + -114x² + 0 + 1x⁴)
fx = (-975 + 624i² + -160i²x + -16i²x² + 640x + -114x² + 1x⁴)

Solving
fx = -975 + 624i² + -160i²x + -16i²x² + 640x + -114x² + 1x⁴

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -975x^-1 + 624i²x^-1 + -160i² + -16i²x + 640 + -114x + x³

Simplifying
f = -975x^-1 + 624i²x^-1 + -160i² + -16i²x + 640 + -114x + x³

Reorder the terms:
f = 640 + -160i² + 624i²x^-1 + -16i²x + -975x^-1 + -114x + x³

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f(x)=(3-x)(-13-x)(5+4i-x)(5-4i-x)

Simple and best practice solution for f(x)=(3-x)(-13-x)(5+4i-x)(5-4i-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 f(x)=(3-x)(-13-x)(5+4i-x)(5-4i-x) equation:

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