x=(x-3)(x+4)(x-(1+4i))(x-(1-4i))

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Solution for x=(x-3)(x+4)(x-(1+4i))(x-(1-4i)) equation:

Simplifying
x = (x + -3)(x + 4)(x + -1(1 + 4i))(x + -1(1 + -4i))

Reorder the terms:
x = (-3 + x)(x + 4)(x + -1(1 + 4i))(x + -1(1 + -4i))

Reorder the terms:
x = (-3 + x)(4 + x)(x + -1(1 + 4i))(x + -1(1 + -4i))
x = (-3 + x)(4 + x)(x + (1 * -1 + 4i * -1))(x + -1(1 + -4i))
x = (-3 + x)(4 + x)(x + (-1 + -4i))(x + -1(1 + -4i))

Reorder the terms:
x = (-3 + x)(4 + x)(-1 + -4i + x)(x + -1(1 + -4i))
x = (-3 + x)(4 + x)(-1 + -4i + x)(x + (1 * -1 + -4i * -1))
x = (-3 + x)(4 + x)(-1 + -4i + x)(x + (-1 + 4i))

Reorder the terms:
x = (-3 + x)(4 + x)(-1 + -4i + x)(-1 + 4i + x)

Multiply (-3 + x) * (4 + x)
x = (-3(4 + x) + x(4 + x))(-1 + -4i + x)(-1 + 4i + x)
x = ((4 * -3 + x * -3) + x(4 + x))(-1 + -4i + x)(-1 + 4i + x)
x = ((-12 + -3x) + x(4 + x))(-1 + -4i + x)(-1 + 4i + x)
x = (-12 + -3x + (4 * x + x * x))(-1 + -4i + x)(-1 + 4i + x)
x = (-12 + -3x + (4x + x²))(-1 + -4i + x)(-1 + 4i + x)

Combine like terms: -3x + 4x = 1x
x = (-12 + 1x + x²)(-1 + -4i + x)(-1 + 4i + x)

Multiply (-12 + 1x + x²) * (-1 + -4i + x)
x = (-12(-1 + -4i + x) + 1x * (-1 + -4i + x) + x²(-1 + -4i + x))(-1 + 4i + x)
x = ((-1 * -12 + -4i * -12 + x * -12) + 1x * (-1 + -4i + x) + x²(-1 + -4i + x))(-1 + 4i + x)
x = ((12 + 48i + -12x) + 1x * (-1 + -4i + x) + x²(-1 + -4i + x))(-1 + 4i + x)
x = (12 + 48i + -12x + (-1 * 1x + -4i * 1x + x * 1x) + x²(-1 + -4i + x))(-1 + 4i + x)

Reorder the terms:
x = (12 + 48i + -12x + (-4ix + -1x + 1x²) + x²(-1 + -4i + x))(-1 + 4i + x)
x = (12 + 48i + -12x + (-4ix + -1x + 1x²) + x²(-1 + -4i + x))(-1 + 4i + x)
x = (12 + 48i + -12x + -4ix + -1x + 1x² + (-1 * x² + -4i * x² + x * x²))(-1 + 4i + x)

Reorder the terms:
x = (12 + 48i + -12x + -4ix + -1x + 1x² + (-4ix² + -1x² + x³))(-1 + 4i + x)
x = (12 + 48i + -12x + -4ix + -1x + 1x² + (-4ix² + -1x² + x³))(-1 + 4i + x)

Reorder the terms:
x = (12 + 48i + -4ix + -4ix² + -12x + -1x + 1x² + -1x² + x³)(-1 + 4i + x)

Combine like terms: -12x + -1x = -13x
x = (12 + 48i + -4ix + -4ix² + -13x + 1x² + -1x² + x³)(-1 + 4i + x)

Combine like terms: 1x² + -1x² = 0
x = (12 + 48i + -4ix + -4ix² + -13x + 0 + x³)(-1 + 4i + x)
x = (12 + 48i + -4ix + -4ix² + -13x + x³)(-1 + 4i + x)

Multiply (12 + 48i + -4ix + -4ix² + -13x + x³) * (-1 + 4i + x)
x = (12(-1 + 4i + x) + 48i * (-1 + 4i + x) + -4ix * (-1 + 4i + x) + -4ix² * (-1 + 4i + x) + -13x * (-1 + 4i + x) + x³(-1 + 4i + x))
x = ((-1 * 12 + 4i * 12 + x * 12) + 48i * (-1 + 4i + x) + -4ix * (-1 + 4i + x) + -4ix² * (-1 + 4i + x) + -13x * (-1 + 4i + x) + x³(-1 + 4i + x))
x = ((-12 + 48i + 12x) + 48i * (-1 + 4i + x) + -4ix * (-1 + 4i + x) + -4ix² * (-1 + 4i + x) + -13x * (-1 + 4i + x) + x³(-1 + 4i + x))
x = (-12 + 48i + 12x + (-1 * 48i + 4i * 48i + x * 48i) + -4ix * (-1 + 4i + x) + -4ix² * (-1 + 4i + x) + -13x * (-1 + 4i + x) + x³(-1 + 4i + x))

Reorder the terms:
x = (-12 + 48i + 12x + (-48i + 48ix + 192i²) + -4ix * (-1 + 4i + x) + -4ix² * (-1 + 4i + x) + -13x * (-1 + 4i + x) + x³(-1 + 4i + x))
x = (-12 + 48i + 12x + (-48i + 48ix + 192i²) + -4ix * (-1 + 4i + x) + -4ix² * (-1 + 4i + x) + -13x * (-1 + 4i + x) + x³(-1 + 4i + x))
x = (-12 + 48i + 12x + -48i + 48ix + 192i² + (-1 * -4ix + 4i * -4ix + x * -4ix) + -4ix² * (-1 + 4i + x) + -13x * (-1 + 4i + x) + x³(-1 + 4i + x))

Reorder the terms:
x = (-12 + 48i + 12x + -48i + 48ix + 192i² + (4ix + -4ix² + -16i²x) + -4ix² * (-1 + 4i + x) + -13x * (-1 + 4i + x) + x³(-1 + 4i + x))
x = (-12 + 48i + 12x + -48i + 48ix + 192i² + (4ix + -4ix² + -16i²x) + -4ix² * (-1 + 4i + x) + -13x * (-1 + 4i + x) + x³(-1 + 4i + x))
x = (-12 + 48i + 12x + -48i + 48ix + 192i² + 4ix + -4ix² + -16i²x + (-1 * -4ix² + 4i * -4ix² + x * -4ix²) + -13x * (-1 + 4i + x) + x³(-1 + 4i + x))

Reorder the terms:
x = (-12 + 48i + 12x + -48i + 48ix + 192i² + 4ix + -4ix² + -16i²x + (4ix² + -4ix³ + -16i²x²) + -13x * (-1 + 4i + x) + x³(-1 + 4i + x))
x = (-12 + 48i + 12x + -48i + 48ix + 192i² + 4ix + -4ix² + -16i²x + (4ix² + -4ix³ + -16i²x²) + -13x * (-1 + 4i + x) + x³(-1 + 4i + x))
x = (-12 + 48i + 12x + -48i + 48ix + 192i² + 4ix + -4ix² + -16i²x + 4ix² + -4ix³ + -16i²x² + (-1 * -13x + 4i * -13x + x * -13x) + x³(-1 + 4i + x))

Reorder the terms:
x = (-12 + 48i + 12x + -48i + 48ix + 192i² + 4ix + -4ix² + -16i²x + 4ix² + -4ix³ + -16i²x² + (-52ix + 13x + -13x²) + x³(-1 + 4i + x))
x = (-12 + 48i + 12x + -48i + 48ix + 192i² + 4ix + -4ix² + -16i²x + 4ix² + -4ix³ + -16i²x² + (-52ix + 13x + -13x²) + x³(-1 + 4i + x))
x = (-12 + 48i + 12x + -48i + 48ix + 192i² + 4ix + -4ix² + -16i²x + 4ix² + -4ix³ + -16i²x² + -52ix + 13x + -13x² + (-1 * x³ + 4i * x³ + x * x³))

Reorder the terms:
x = (-12 + 48i + 12x + -48i + 48ix + 192i² + 4ix + -4ix² + -16i²x + 4ix² + -4ix³ + -16i²x² + -52ix + 13x + -13x² + (4ix³ + -1x³ + x⁴))
x = (-12 + 48i + 12x + -48i + 48ix + 192i² + 4ix + -4ix² + -16i²x + 4ix² + -4ix³ + -16i²x² + -52ix + 13x + -13x² + (4ix³ + -1x³ + x⁴))

Reorder the terms:
x = (-12 + 48i + -48i + 48ix + 4ix + -52ix + -4ix² + 4ix² + -4ix³ + 4ix³ + 192i² + -16i²x + -16i²x² + 12x + 13x + -13x² + -1x³ + x⁴)

Combine like terms: 48i + -48i = 0
x = (-12 + 0 + 48ix + 4ix + -52ix + -4ix² + 4ix² + -4ix³ + 4ix³ + 192i² + -16i²x + -16i²x² + 12x + 13x + -13x² + -1x³ + x⁴)
x = (-12 + 48ix + 4ix + -52ix + -4ix² + 4ix² + -4ix³ + 4ix³ + 192i² + -16i²x + -16i²x² + 12x + 13x + -13x² + -1x³ + x⁴)

Combine like terms: 48ix + 4ix = 52ix
x = (-12 + 52ix + -52ix + -4ix² + 4ix² + -4ix³ + 4ix³ + 192i² + -16i²x + -16i²x² + 12x + 13x + -13x² + -1x³ + x⁴)

Combine like terms: 52ix + -52ix = 0
x = (-12 + 0 + -4ix² + 4ix² + -4ix³ + 4ix³ + 192i² + -16i²x + -16i²x² + 12x + 13x + -13x² + -1x³ + x⁴)
x = (-12 + -4ix² + 4ix² + -4ix³ + 4ix³ + 192i² + -16i²x + -16i²x² + 12x + 13x + -13x² + -1x³ + x⁴)

Combine like terms: -4ix² + 4ix² = 0
x = (-12 + 0 + -4ix³ + 4ix³ + 192i² + -16i²x + -16i²x² + 12x + 13x + -13x² + -1x³ + x⁴)
x = (-12 + -4ix³ + 4ix³ + 192i² + -16i²x + -16i²x² + 12x + 13x + -13x² + -1x³ + x⁴)

Combine like terms: -4ix³ + 4ix³ = 0
x = (-12 + 0 + 192i² + -16i²x + -16i²x² + 12x + 13x + -13x² + -1x³ + x⁴)
x = (-12 + 192i² + -16i²x + -16i²x² + 12x + 13x + -13x² + -1x³ + x⁴)

Combine like terms: 12x + 13x = 25x
x = (-12 + 192i² + -16i²x + -16i²x² + 25x + -13x² + -1x³ + x⁴)

Solving
x = -12 + 192i² + -16i²x + -16i²x² + 25x + -13x² + -1x³ + x⁴

Solving for variable 'x'.

Reorder the terms:
12 + -192i² + 16i²x + 16i²x² + x + -25x + 13x² + x³ + -1x⁴ = -12 + 192i² + -16i²x + -16i²x² + 25x + -13x² + -1x³ + x⁴ + 12 + -192i² + 16i²x + 16i²x² + -25x + 13x² + x³ + -1x⁴

Combine like terms: x + -25x = -24x
12 + -192i² + 16i²x + 16i²x² + -24x + 13x² + x³ + -1x⁴ = -12 + 192i² + -16i²x + -16i²x² + 25x + -13x² + -1x³ + x⁴ + 12 + -192i² + 16i²x + 16i²x² + -25x + 13x² + x³ + -1x⁴

Reorder the terms:
12 + -192i² + 16i²x + 16i²x² + -24x + 13x² + x³ + -1x⁴ = -12 + 12 + 192i² + -192i² + -16i²x + 16i²x + -16i²x² + 16i²x² + 25x + -25x + -13x² + 13x² + -1x³ + x³ + x⁴ + -1x⁴

Combine like terms: -12 + 12 = 0
12 + -192i² + 16i²x + 16i²x² + -24x + 13x² + x³ + -1x⁴ = 0 + 192i² + -192i² + -16i²x + 16i²x + -16i²x² + 16i²x² + 25x + -25x + -13x² + 13x² + -1x³ + x³ + x⁴ + -1x⁴
12 + -192i² + 16i²x + 16i²x² + -24x + 13x² + x³ + -1x⁴ = 192i² + -192i² + -16i²x + 16i²x + -16i²x² + 16i²x² + 25x + -25x + -13x² + 13x² + -1x³ + x³ + x⁴ + -1x⁴

Combine like terms: 192i² + -192i² = 0
12 + -192i² + 16i²x + 16i²x² + -24x + 13x² + x³ + -1x⁴ = 0 + -16i²x + 16i²x + -16i²x² + 16i²x² + 25x + -25x + -13x² + 13x² + -1x³ + x³ + x⁴ + -1x⁴
12 + -192i² + 16i²x + 16i²x² + -24x + 13x² + x³ + -1x⁴ = -16i²x + 16i²x + -16i²x² + 16i²x² + 25x + -25x + -13x² + 13x² + -1x³ + x³ + x⁴ + -1x⁴

Combine like terms: -16i²x + 16i²x = 0
12 + -192i² + 16i²x + 16i²x² + -24x + 13x² + x³ + -1x⁴ = 0 + -16i²x² + 16i²x² + 25x + -25x + -13x² + 13x² + -1x³ + x³ + x⁴ + -1x⁴
12 + -192i² + 16i²x + 16i²x² + -24x + 13x² + x³ + -1x⁴ = -16i²x² + 16i²x² + 25x + -25x + -13x² + 13x² + -1x³ + x³ + x⁴ + -1x⁴

Combine like terms: -16i²x² + 16i²x² = 0
12 + -192i² + 16i²x + 16i²x² + -24x + 13x² + x³ + -1x⁴ = 0 + 25x + -25x + -13x² + 13x² + -1x³ + x³ + x⁴ + -1x⁴
12 + -192i² + 16i²x + 16i²x² + -24x + 13x² + x³ + -1x⁴ = 25x + -25x + -13x² + 13x² + -1x³ + x³ + x⁴ + -1x⁴

Combine like terms: 25x + -25x = 0
12 + -192i² + 16i²x + 16i²x² + -24x + 13x² + x³ + -1x⁴ = 0 + -13x² + 13x² + -1x³ + x³ + x⁴ + -1x⁴
12 + -192i² + 16i²x + 16i²x² + -24x + 13x² + x³ + -1x⁴ = -13x² + 13x² + -1x³ + x³ + x⁴ + -1x⁴

Combine like terms: -13x² + 13x² = 0
12 + -192i² + 16i²x + 16i²x² + -24x + 13x² + x³ + -1x⁴ = 0 + -1x³ + x³ + x⁴ + -1x⁴
12 + -192i² + 16i²x + 16i²x² + -24x + 13x² + x³ + -1x⁴ = -1x³ + x³ + x⁴ + -1x⁴

Combine like terms: -1x³ + x³ = 0
12 + -192i² + 16i²x + 16i²x² + -24x + 13x² + x³ + -1x⁴ = 0 + x⁴ + -1x⁴
12 + -192i² + 16i²x + 16i²x² + -24x + 13x² + x³ + -1x⁴ = x⁴ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
12 + -192i² + 16i²x + 16i²x² + -24x + 13x² + x³ + -1x⁴ = 0

The solution to this equation could not be determined.

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x=(x-3)(x+4)(x-(1+4i))(x-(1-4i))

Simple and best practice solution for x=(x-3)(x+4)(x-(1+4i))(x-(1-4i)) 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=(x-3)(x+4)(x-(1+4i))(x-(1-4i)) equation:

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