(x-3i)(x+3i)(x-(1+2i))(x-(1-2i))(x-6)=0

Simple and best practice solution for (x-3i)(x+3i)(x-(1+2i))(x-(1-2i))(x-6)=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-3i)(x+3i)(x-(1+2i))(x-(1-2i))(x-6)=0 equation:

Simplifying
(x + -3i)(x + 3i)(x + -1(1 + 2i))(x + -1(1 + -2i))(x + -6) = 0

Reorder the terms:
(-3i + x)(x + 3i)(x + -1(1 + 2i))(x + -1(1 + -2i))(x + -6) = 0

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

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

Reorder the terms:
(-3i + x)(3i + x)(-1 + -2i + x)(-1 + 2i + x)(x + -6) = 0

Reorder the terms:
(-3i + x)(3i + x)(-1 + -2i + x)(-1 + 2i + x)(-6 + x) = 0

Multiply (-3i + x) * (3i + x)
(-3i * (3i + x) + x(3i + x))(-1 + -2i + x)(-1 + 2i + x)(-6 + x) = 0
((3i * -3i + x * -3i) + x(3i + x))(-1 + -2i + x)(-1 + 2i + x)(-6 + x) = 0

Reorder the terms:
((-3ix + -9i²) + x(3i + x))(-1 + -2i + x)(-1 + 2i + x)(-6 + x) = 0
((-3ix + -9i²) + x(3i + x))(-1 + -2i + x)(-1 + 2i + x)(-6 + x) = 0
(-3ix + -9i² + (3i * x + x * x))(-1 + -2i + x)(-1 + 2i + x)(-6 + x) = 0
(-3ix + -9i² + (3ix + x²))(-1 + -2i + x)(-1 + 2i + x)(-6 + x) = 0

Reorder the terms:
(-3ix + 3ix + -9i² + x²)(-1 + -2i + x)(-1 + 2i + x)(-6 + x) = 0

Combine like terms: -3ix + 3ix = 0
(0 + -9i² + x²)(-1 + -2i + x)(-1 + 2i + x)(-6 + x) = 0
(-9i² + x²)(-1 + -2i + x)(-1 + 2i + x)(-6 + x) = 0

Multiply (-9i² + x²) * (-1 + -2i + x)
(-9i² * (-1 + -2i + x) + x²(-1 + -2i + x))(-1 + 2i + x)(-6 + x) = 0
((-1 * -9i² + -2i * -9i² + x * -9i²) + x²(-1 + -2i + x))(-1 + 2i + x)(-6 + x) = 0

Reorder the terms:
((9i² + -9i²x + 18i³) + x²(-1 + -2i + x))(-1 + 2i + x)(-6 + x) = 0
((9i² + -9i²x + 18i³) + x²(-1 + -2i + x))(-1 + 2i + x)(-6 + x) = 0
(9i² + -9i²x + 18i³ + (-1 * x² + -2i * x² + x * x²))(-1 + 2i + x)(-6 + x) = 0

Reorder the terms:
(9i² + -9i²x + 18i³ + (-2ix² + -1x² + x³))(-1 + 2i + x)(-6 + x) = 0
(9i² + -9i²x + 18i³ + (-2ix² + -1x² + x³))(-1 + 2i + x)(-6 + x) = 0

Reorder the terms:
(-2ix² + 9i² + -9i²x + 18i³ + -1x² + x³)(-1 + 2i + x)(-6 + x) = 0
(-2ix² + 9i² + -9i²x + 18i³ + -1x² + x³)(-1 + 2i + x)(-6 + x) = 0

Multiply (-2ix² + 9i² + -9i²x + 18i³ + -1x² + x³) * (-1 + 2i + x)
(-2ix² * (-1 + 2i + x) + 9i² * (-1 + 2i + x) + -9i²x * (-1 + 2i + x) + 18i³ * (-1 + 2i + x) + -1x² * (-1 + 2i + x) + x³(-1 + 2i + x))(-6 + x) = 0
((-1 * -2ix² + 2i * -2ix² + x * -2ix²) + 9i² * (-1 + 2i + x) + -9i²x * (-1 + 2i + x) + 18i³ * (-1 + 2i + x) + -1x² * (-1 + 2i + x) + x³(-1 + 2i + x))(-6 + x) = 0

Reorder the terms:
((2ix² + -2ix³ + -4i²x²) + 9i² * (-1 + 2i + x) + -9i²x * (-1 + 2i + x) + 18i³ * (-1 + 2i + x) + -1x² * (-1 + 2i + x) + x³(-1 + 2i + x))(-6 + x) = 0
((2ix² + -2ix³ + -4i²x²) + 9i² * (-1 + 2i + x) + -9i²x * (-1 + 2i + x) + 18i³ * (-1 + 2i + x) + -1x² * (-1 + 2i + x) + x³(-1 + 2i + x))(-6 + x) = 0
(2ix² + -2ix³ + -4i²x² + (-1 * 9i² + 2i * 9i² + x * 9i²) + -9i²x * (-1 + 2i + x) + 18i³ * (-1 + 2i + x) + -1x² * (-1 + 2i + x) + x³(-1 + 2i + x))(-6 + x) = 0

Reorder the terms:
(2ix² + -2ix³ + -4i²x² + (-9i² + 9i²x + 18i³) + -9i²x * (-1 + 2i + x) + 18i³ * (-1 + 2i + x) + -1x² * (-1 + 2i + x) + x³(-1 + 2i + x))(-6 + x) = 0
(2ix² + -2ix³ + -4i²x² + (-9i² + 9i²x + 18i³) + -9i²x * (-1 + 2i + x) + 18i³ * (-1 + 2i + x) + -1x² * (-1 + 2i + x) + x³(-1 + 2i + x))(-6 + x) = 0
(2ix² + -2ix³ + -4i²x² + -9i² + 9i²x + 18i³ + (-1 * -9i²x + 2i * -9i²x + x * -9i²x) + 18i³ * (-1 + 2i + x) + -1x² * (-1 + 2i + x) + x³(-1 + 2i + x))(-6 + x) = 0

Reorder the terms:
(2ix² + -2ix³ + -4i²x² + -9i² + 9i²x + 18i³ + (9i²x + -9i²x² + -18i³x) + 18i³ * (-1 + 2i + x) + -1x² * (-1 + 2i + x) + x³(-1 + 2i + x))(-6 + x) = 0
(2ix² + -2ix³ + -4i²x² + -9i² + 9i²x + 18i³ + (9i²x + -9i²x² + -18i³x) + 18i³ * (-1 + 2i + x) + -1x² * (-1 + 2i + x) + x³(-1 + 2i + x))(-6 + x) = 0
(2ix² + -2ix³ + -4i²x² + -9i² + 9i²x + 18i³ + 9i²x + -9i²x² + -18i³x + (-1 * 18i³ + 2i * 18i³ + x * 18i³) + -1x² * (-1 + 2i + x) + x³(-1 + 2i + x))(-6 + x) = 0

Reorder the terms:
(2ix² + -2ix³ + -4i²x² + -9i² + 9i²x + 18i³ + 9i²x + -9i²x² + -18i³x + (-18i³ + 18i³x + 36i⁴) + -1x² * (-1 + 2i + x) + x³(-1 + 2i + x))(-6 + x) = 0
(2ix² + -2ix³ + -4i²x² + -9i² + 9i²x + 18i³ + 9i²x + -9i²x² + -18i³x + (-18i³ + 18i³x + 36i⁴) + -1x² * (-1 + 2i + x) + x³(-1 + 2i + x))(-6 + x) = 0
(2ix² + -2ix³ + -4i²x² + -9i² + 9i²x + 18i³ + 9i²x + -9i²x² + -18i³x + -18i³ + 18i³x + 36i⁴ + (-1 * -1x² + 2i * -1x² + x * -1x²) + x³(-1 + 2i + x))(-6 + x) = 0

Reorder the terms:
(2ix² + -2ix³ + -4i²x² + -9i² + 9i²x + 18i³ + 9i²x + -9i²x² + -18i³x + -18i³ + 18i³x + 36i⁴ + (-2ix² + 1x² + -1x³) + x³(-1 + 2i + x))(-6 + x) = 0
(2ix² + -2ix³ + -4i²x² + -9i² + 9i²x + 18i³ + 9i²x + -9i²x² + -18i³x + -18i³ + 18i³x + 36i⁴ + (-2ix² + 1x² + -1x³) + x³(-1 + 2i + x))(-6 + x) = 0
(2ix² + -2ix³ + -4i²x² + -9i² + 9i²x + 18i³ + 9i²x + -9i²x² + -18i³x + -18i³ + 18i³x + 36i⁴ + -2ix² + 1x² + -1x³ + (-1 * x³ + 2i * x³ + x * x³))(-6 + x) = 0

Reorder the terms:
(2ix² + -2ix³ + -4i²x² + -9i² + 9i²x + 18i³ + 9i²x + -9i²x² + -18i³x + -18i³ + 18i³x + 36i⁴ + -2ix² + 1x² + -1x³ + (2ix³ + -1x³ + x⁴))(-6 + x) = 0
(2ix² + -2ix³ + -4i²x² + -9i² + 9i²x + 18i³ + 9i²x + -9i²x² + -18i³x + -18i³ + 18i³x + 36i⁴ + -2ix² + 1x² + -1x³ + (2ix³ + -1x³ + x⁴))(-6 + x) = 0

Reorder the terms:
(2ix² + -2ix² + -2ix³ + 2ix³ + -9i² + 9i²x + 9i²x + -4i²x² + -9i²x² + 18i³ + -18i³ + -18i³x + 18i³x + 36i⁴ + 1x² + -1x³ + -1x³ + x⁴)(-6 + x) = 0

Combine like terms: 2ix² + -2ix² = 0
(0 + -2ix³ + 2ix³ + -9i² + 9i²x + 9i²x + -4i²x² + -9i²x² + 18i³ + -18i³ + -18i³x + 18i³x + 36i⁴ + 1x² + -1x³ + -1x³ + x⁴)(-6 + x) = 0
(-2ix³ + 2ix³ + -9i² + 9i²x + 9i²x + -4i²x² + -9i²x² + 18i³ + -18i³ + -18i³x + 18i³x + 36i⁴ + 1x² + -1x³ + -1x³ + x⁴)(-6 + x) = 0

Combine like terms: -2ix³ + 2ix³ = 0
(0 + -9i² + 9i²x + 9i²x + -4i²x² + -9i²x² + 18i³ + -18i³ + -18i³x + 18i³x + 36i⁴ + 1x² + -1x³ + -1x³ + x⁴)(-6 + x) = 0
(-9i² + 9i²x + 9i²x + -4i²x² + -9i²x² + 18i³ + -18i³ + -18i³x + 18i³x + 36i⁴ + 1x² + -1x³ + -1x³ + x⁴)(-6 + x) = 0

Combine like terms: 9i²x + 9i²x = 18i²x
(-9i² + 18i²x + -4i²x² + -9i²x² + 18i³ + -18i³ + -18i³x + 18i³x + 36i⁴ + 1x² + -1x³ + -1x³ + x⁴)(-6 + x) = 0

Combine like terms: -4i²x² + -9i²x² = -13i²x²
(-9i² + 18i²x + -13i²x² + 18i³ + -18i³ + -18i³x + 18i³x + 36i⁴ + 1x² + -1x³ + -1x³ + x⁴)(-6 + x) = 0

Combine like terms: 18i³ + -18i³ = 0
(-9i² + 18i²x + -13i²x² + 0 + -18i³x + 18i³x + 36i⁴ + 1x² + -1x³ + -1x³ + x⁴)(-6 + x) = 0
(-9i² + 18i²x + -13i²x² + -18i³x + 18i³x + 36i⁴ + 1x² + -1x³ + -1x³ + x⁴)(-6 + x) = 0

Combine like terms: -18i³x + 18i³x = 0
(-9i² + 18i²x + -13i²x² + 0 + 36i⁴ + 1x² + -1x³ + -1x³ + x⁴)(-6 + x) = 0
(-9i² + 18i²x + -13i²x² + 36i⁴ + 1x² + -1x³ + -1x³ + x⁴)(-6 + x) = 0

Combine like terms: -1x³ + -1x³ = -2x³
(-9i² + 18i²x + -13i²x² + 36i⁴ + 1x² + -2x³ + x⁴)(-6 + x) = 0

Multiply (-9i² + 18i²x + -13i²x² + 36i⁴ + 1x² + -2x³ + x⁴) * (-6 + x)
(-9i² * (-6 + x) + 18i²x * (-6 + x) + -13i²x² * (-6 + x) + 36i⁴ * (-6 + x) + 1x² * (-6 + x) + -2x³ * (-6 + x) + x⁴(-6 + x)) = 0
((-6 * -9i² + x * -9i²) + 18i²x * (-6 + x) + -13i²x² * (-6 + x) + 36i⁴ * (-6 + x) + 1x² * (-6 + x) + -2x³ * (-6 + x) + x⁴(-6 + x)) = 0
((54i² + -9i²x) + 18i²x * (-6 + x) + -13i²x² * (-6 + x) + 36i⁴ * (-6 + x) + 1x² * (-6 + x) + -2x³ * (-6 + x) + x⁴(-6 + x)) = 0
(54i² + -9i²x + (-6 * 18i²x + x * 18i²x) + -13i²x² * (-6 + x) + 36i⁴ * (-6 + x) + 1x² * (-6 + x) + -2x³ * (-6 + x) + x⁴(-6 + x)) = 0
(54i² + -9i²x + (-108i²x + 18i²x²) + -13i²x² * (-6 + x) + 36i⁴ * (-6 + x) + 1x² * (-6 + x) + -2x³ * (-6 + x) + x⁴(-6 + x)) = 0
(54i² + -9i²x + -108i²x + 18i²x² + (-6 * -13i²x² + x * -13i²x²) + 36i⁴ * (-6 + x) + 1x² * (-6 + x) + -2x³ * (-6 + x) + x⁴(-6 + x)) = 0
(54i² + -9i²x + -108i²x + 18i²x² + (78i²x² + -13i²x³) + 36i⁴ * (-6 + x) + 1x² * (-6 + x) + -2x³ * (-6 + x) + x⁴(-6 + x)) = 0
(54i² + -9i²x + -108i²x + 18i²x² + 78i²x² + -13i²x³ + (-6 * 36i⁴ + x * 36i⁴) + 1x² * (-6 + x) + -2x³ * (-6 + x) + x⁴(-6 + x)) = 0
(54i² + -9i²x + -108i²x + 18i²x² + 78i²x² + -13i²x³ + (-216i⁴ + 36i⁴x) + 1x² * (-6 + x) + -2x³ * (-6 + x) + x⁴(-6 + x)) = 0
(54i² + -9i²x + -108i²x + 18i²x² + 78i²x² + -13i²x³ + -216i⁴ + 36i⁴x + (-6 * 1x² + x * 1x²) + -2x³ * (-6 + x) + x⁴(-6 + x)) = 0
(54i² + -9i²x + -108i²x + 18i²x² + 78i²x² + -13i²x³ + -216i⁴ + 36i⁴x + (-6x² + 1x³) + -2x³ * (-6 + x) + x⁴(-6 + x)) = 0
(54i² + -9i²x + -108i²x + 18i²x² + 78i²x² + -13i²x³ + -216i⁴ + 36i⁴x + -6x² + 1x³ + (-6 * -2x³ + x * -2x³) + x⁴(-6 + x)) = 0
(54i² + -9i²x + -108i²x + 18i²x² + 78i²x² + -13i²x³ + -216i⁴ + 36i⁴x + -6x² + 1x³ + (12x³ + -2x⁴) + x⁴(-6 + x)) = 0
(54i² + -9i²x + -108i²x + 18i²x² + 78i²x² + -13i²x³ + -216i⁴ + 36i⁴x + -6x² + 1x³ + 12x³ + -2x⁴ + (-6 * x⁴ + x * x⁴)) = 0
(54i² + -9i²x + -108i²x + 18i²x² + 78i²x² + -13i²x³ + -216i⁴ + 36i⁴x + -6x² + 1x³ + 12x³ + -2x⁴ + (-6x⁴ + x⁵)) = 0

Combine like terms: -9i²x + -108i²x = -117i²x
(54i² + -117i²x + 18i²x² + 78i²x² + -13i²x³ + -216i⁴ + 36i⁴x + -6x² + 1x³ + 12x³ + -2x⁴ + -6x⁴ + x⁵) = 0

Combine like terms: 18i²x² + 78i²x² = 96i²x²
(54i² + -117i²x + 96i²x² + -13i²x³ + -216i⁴ + 36i⁴x + -6x² + 1x³ + 12x³ + -2x⁴ + -6x⁴ + x⁵) = 0

Combine like terms: 1x³ + 12x³ = 13x³
(54i² + -117i²x + 96i²x² + -13i²x³ + -216i⁴ + 36i⁴x + -6x² + 13x³ + -2x⁴ + -6x⁴ + x⁵) = 0

Combine like terms: -2x⁴ + -6x⁴ = -8x⁴
(54i² + -117i²x + 96i²x² + -13i²x³ + -216i⁴ + 36i⁴x + -6x² + 13x³ + -8x⁴ + x⁵) = 0

Solving
54i² + -117i²x + 96i²x² + -13i²x³ + -216i⁴ + 36i⁴x + -6x² + 13x³ + -8x⁴ + x⁵ = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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(x-3i)(x+3i)(x-(1+2i))(x-(1-2i))(x-6)=0

Simple and best practice solution for (x-3i)(x+3i)(x-(1+2i))(x-(1-2i))(x-6)=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-3i)(x+3i)(x-(1+2i))(x-(1-2i))(x-6)=0 equation:

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