(x-5)(x+3)(x+1-3i)(x-1+3i)=0

Simple and best practice solution for (x-5)(x+3)(x+1-3i)(x-1+3i)=0 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-5)(x+3)(x+1-3i)(x-1+3i)=0 equation:

Simplifying
(x + -5)(x + 3)(x + 1 + -3i)(x + -1 + 3i) = 0

Reorder the terms:
(-5 + x)(x + 3)(x + 1 + -3i)(x + -1 + 3i) = 0

Reorder the terms:
(-5 + x)(3 + x)(x + 1 + -3i)(x + -1 + 3i) = 0

Reorder the terms:
(-5 + x)(3 + x)(1 + -3i + x)(x + -1 + 3i) = 0

Reorder the terms:
(-5 + x)(3 + x)(1 + -3i + x)(-1 + 3i + x) = 0

Multiply (-5 + x) * (3 + x)
(-5(3 + x) + x(3 + x))(1 + -3i + x)(-1 + 3i + x) = 0
((3 * -5 + x * -5) + x(3 + x))(1 + -3i + x)(-1 + 3i + x) = 0
((-15 + -5x) + x(3 + x))(1 + -3i + x)(-1 + 3i + x) = 0
(-15 + -5x + (3 * x + x * x))(1 + -3i + x)(-1 + 3i + x) = 0
(-15 + -5x + (3x + x²))(1 + -3i + x)(-1 + 3i + x) = 0

Combine like terms: -5x + 3x = -2x
(-15 + -2x + x²)(1 + -3i + x)(-1 + 3i + x) = 0

Multiply (-15 + -2x + x²) * (1 + -3i + x)
(-15(1 + -3i + x) + -2x * (1 + -3i + x) + x²(1 + -3i + x))(-1 + 3i + x) = 0
((1 * -15 + -3i * -15 + x * -15) + -2x * (1 + -3i + x) + x²(1 + -3i + x))(-1 + 3i + x) = 0
((-15 + 45i + -15x) + -2x * (1 + -3i + x) + x²(1 + -3i + x))(-1 + 3i + x) = 0
(-15 + 45i + -15x + (1 * -2x + -3i * -2x + x * -2x) + x²(1 + -3i + x))(-1 + 3i + x) = 0

Reorder the terms:
(-15 + 45i + -15x + (6ix + -2x + -2x²) + x²(1 + -3i + x))(-1 + 3i + x) = 0
(-15 + 45i + -15x + (6ix + -2x + -2x²) + x²(1 + -3i + x))(-1 + 3i + x) = 0
(-15 + 45i + -15x + 6ix + -2x + -2x² + (1 * x² + -3i * x² + x * x²))(-1 + 3i + x) = 0

Reorder the terms:
(-15 + 45i + -15x + 6ix + -2x + -2x² + (-3ix² + 1x² + x³))(-1 + 3i + x) = 0
(-15 + 45i + -15x + 6ix + -2x + -2x² + (-3ix² + 1x² + x³))(-1 + 3i + x) = 0

Reorder the terms:
(-15 + 45i + 6ix + -3ix² + -15x + -2x + -2x² + 1x² + x³)(-1 + 3i + x) = 0

Combine like terms: -15x + -2x = -17x
(-15 + 45i + 6ix + -3ix² + -17x + -2x² + 1x² + x³)(-1 + 3i + x) = 0

Combine like terms: -2x² + 1x² = -1x²
(-15 + 45i + 6ix + -3ix² + -17x + -1x² + x³)(-1 + 3i + x) = 0

Multiply (-15 + 45i + 6ix + -3ix² + -17x + -1x² + x³) * (-1 + 3i + x)
(-15(-1 + 3i + x) + 45i * (-1 + 3i + x) + 6ix * (-1 + 3i + x) + -3ix² * (-1 + 3i + x) + -17x * (-1 + 3i + x) + -1x² * (-1 + 3i + x) + x³(-1 + 3i + x)) = 0
((-1 * -15 + 3i * -15 + x * -15) + 45i * (-1 + 3i + x) + 6ix * (-1 + 3i + x) + -3ix² * (-1 + 3i + x) + -17x * (-1 + 3i + x) + -1x² * (-1 + 3i + x) + x³(-1 + 3i + x)) = 0
((15 + -45i + -15x) + 45i * (-1 + 3i + x) + 6ix * (-1 + 3i + x) + -3ix² * (-1 + 3i + x) + -17x * (-1 + 3i + x) + -1x² * (-1 + 3i + x) + x³(-1 + 3i + x)) = 0
(15 + -45i + -15x + (-1 * 45i + 3i * 45i + x * 45i) + 6ix * (-1 + 3i + x) + -3ix² * (-1 + 3i + x) + -17x * (-1 + 3i + x) + -1x² * (-1 + 3i + x) + x³(-1 + 3i + x)) = 0

Reorder the terms:
(15 + -45i + -15x + (-45i + 45ix + 135i²) + 6ix * (-1 + 3i + x) + -3ix² * (-1 + 3i + x) + -17x * (-1 + 3i + x) + -1x² * (-1 + 3i + x) + x³(-1 + 3i + x)) = 0
(15 + -45i + -15x + (-45i + 45ix + 135i²) + 6ix * (-1 + 3i + x) + -3ix² * (-1 + 3i + x) + -17x * (-1 + 3i + x) + -1x² * (-1 + 3i + x) + x³(-1 + 3i + x)) = 0
(15 + -45i + -15x + -45i + 45ix + 135i² + (-1 * 6ix + 3i * 6ix + x * 6ix) + -3ix² * (-1 + 3i + x) + -17x * (-1 + 3i + x) + -1x² * (-1 + 3i + x) + x³(-1 + 3i + x)) = 0

Reorder the terms:
(15 + -45i + -15x + -45i + 45ix + 135i² + (-6ix + 6ix² + 18i²x) + -3ix² * (-1 + 3i + x) + -17x * (-1 + 3i + x) + -1x² * (-1 + 3i + x) + x³(-1 + 3i + x)) = 0
(15 + -45i + -15x + -45i + 45ix + 135i² + (-6ix + 6ix² + 18i²x) + -3ix² * (-1 + 3i + x) + -17x * (-1 + 3i + x) + -1x² * (-1 + 3i + x) + x³(-1 + 3i + x)) = 0
(15 + -45i + -15x + -45i + 45ix + 135i² + -6ix + 6ix² + 18i²x + (-1 * -3ix² + 3i * -3ix² + x * -3ix²) + -17x * (-1 + 3i + x) + -1x² * (-1 + 3i + x) + x³(-1 + 3i + x)) = 0

Reorder the terms:
(15 + -45i + -15x + -45i + 45ix + 135i² + -6ix + 6ix² + 18i²x + (3ix² + -3ix³ + -9i²x²) + -17x * (-1 + 3i + x) + -1x² * (-1 + 3i + x) + x³(-1 + 3i + x)) = 0
(15 + -45i + -15x + -45i + 45ix + 135i² + -6ix + 6ix² + 18i²x + (3ix² + -3ix³ + -9i²x²) + -17x * (-1 + 3i + x) + -1x² * (-1 + 3i + x) + x³(-1 + 3i + x)) = 0
(15 + -45i + -15x + -45i + 45ix + 135i² + -6ix + 6ix² + 18i²x + 3ix² + -3ix³ + -9i²x² + (-1 * -17x + 3i * -17x + x * -17x) + -1x² * (-1 + 3i + x) + x³(-1 + 3i + x)) = 0

Reorder the terms:
(15 + -45i + -15x + -45i + 45ix + 135i² + -6ix + 6ix² + 18i²x + 3ix² + -3ix³ + -9i²x² + (-51ix + 17x + -17x²) + -1x² * (-1 + 3i + x) + x³(-1 + 3i + x)) = 0
(15 + -45i + -15x + -45i + 45ix + 135i² + -6ix + 6ix² + 18i²x + 3ix² + -3ix³ + -9i²x² + (-51ix + 17x + -17x²) + -1x² * (-1 + 3i + x) + x³(-1 + 3i + x)) = 0
(15 + -45i + -15x + -45i + 45ix + 135i² + -6ix + 6ix² + 18i²x + 3ix² + -3ix³ + -9i²x² + -51ix + 17x + -17x² + (-1 * -1x² + 3i * -1x² + x * -1x²) + x³(-1 + 3i + x)) = 0

Reorder the terms:
(15 + -45i + -15x + -45i + 45ix + 135i² + -6ix + 6ix² + 18i²x + 3ix² + -3ix³ + -9i²x² + -51ix + 17x + -17x² + (-3ix² + 1x² + -1x³) + x³(-1 + 3i + x)) = 0
(15 + -45i + -15x + -45i + 45ix + 135i² + -6ix + 6ix² + 18i²x + 3ix² + -3ix³ + -9i²x² + -51ix + 17x + -17x² + (-3ix² + 1x² + -1x³) + x³(-1 + 3i + x)) = 0
(15 + -45i + -15x + -45i + 45ix + 135i² + -6ix + 6ix² + 18i²x + 3ix² + -3ix³ + -9i²x² + -51ix + 17x + -17x² + -3ix² + 1x² + -1x³ + (-1 * x³ + 3i * x³ + x * x³)) = 0

Reorder the terms:
(15 + -45i + -15x + -45i + 45ix + 135i² + -6ix + 6ix² + 18i²x + 3ix² + -3ix³ + -9i²x² + -51ix + 17x + -17x² + -3ix² + 1x² + -1x³ + (3ix³ + -1x³ + x⁴)) = 0
(15 + -45i + -15x + -45i + 45ix + 135i² + -6ix + 6ix² + 18i²x + 3ix² + -3ix³ + -9i²x² + -51ix + 17x + -17x² + -3ix² + 1x² + -1x³ + (3ix³ + -1x³ + x⁴)) = 0

Reorder the terms:
(15 + -45i + -45i + 45ix + -6ix + -51ix + 6ix² + 3ix² + -3ix² + -3ix³ + 3ix³ + 135i² + 18i²x + -9i²x² + -15x + 17x + -17x² + 1x² + -1x³ + -1x³ + x⁴) = 0

Combine like terms: -45i + -45i = -90i
(15 + -90i + 45ix + -6ix + -51ix + 6ix² + 3ix² + -3ix² + -3ix³ + 3ix³ + 135i² + 18i²x + -9i²x² + -15x + 17x + -17x² + 1x² + -1x³ + -1x³ + x⁴) = 0

Combine like terms: 45ix + -6ix = 39ix
(15 + -90i + 39ix + -51ix + 6ix² + 3ix² + -3ix² + -3ix³ + 3ix³ + 135i² + 18i²x + -9i²x² + -15x + 17x + -17x² + 1x² + -1x³ + -1x³ + x⁴) = 0

Combine like terms: 39ix + -51ix = -12ix
(15 + -90i + -12ix + 6ix² + 3ix² + -3ix² + -3ix³ + 3ix³ + 135i² + 18i²x + -9i²x² + -15x + 17x + -17x² + 1x² + -1x³ + -1x³ + x⁴) = 0

Combine like terms: 6ix² + 3ix² = 9ix²
(15 + -90i + -12ix + 9ix² + -3ix² + -3ix³ + 3ix³ + 135i² + 18i²x + -9i²x² + -15x + 17x + -17x² + 1x² + -1x³ + -1x³ + x⁴) = 0

Combine like terms: 9ix² + -3ix² = 6ix²
(15 + -90i + -12ix + 6ix² + -3ix³ + 3ix³ + 135i² + 18i²x + -9i²x² + -15x + 17x + -17x² + 1x² + -1x³ + -1x³ + x⁴) = 0

Combine like terms: -3ix³ + 3ix³ = 0
(15 + -90i + -12ix + 6ix² + 0 + 135i² + 18i²x + -9i²x² + -15x + 17x + -17x² + 1x² + -1x³ + -1x³ + x⁴) = 0
(15 + -90i + -12ix + 6ix² + 135i² + 18i²x + -9i²x² + -15x + 17x + -17x² + 1x² + -1x³ + -1x³ + x⁴) = 0

Combine like terms: -15x + 17x = 2x
(15 + -90i + -12ix + 6ix² + 135i² + 18i²x + -9i²x² + 2x + -17x² + 1x² + -1x³ + -1x³ + x⁴) = 0

Combine like terms: -17x² + 1x² = -16x²
(15 + -90i + -12ix + 6ix² + 135i² + 18i²x + -9i²x² + 2x + -16x² + -1x³ + -1x³ + x⁴) = 0

Combine like terms: -1x³ + -1x³ = -2x³
(15 + -90i + -12ix + 6ix² + 135i² + 18i²x + -9i²x² + 2x + -16x² + -2x³ + x⁴) = 0

Solving
15 + -90i + -12ix + 6ix² + 135i² + 18i²x + -9i²x² + 2x + -16x² + -2x³ + x⁴ = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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(x-5)(x+3)(x+1-3i)(x-1+3i)=0

Simple and best practice solution for (x-5)(x+3)(x+1-3i)(x-1+3i)=0 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-5)(x+3)(x+1-3i)(x-1+3i)=0 equation:

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