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

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

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

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

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

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

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

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

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

Multiply (-2 + 1x + x²) * (-3 + i + x)
(-2(-3 + i + x) + 1x * (-3 + i + x) + x²(-3 + i + x))(-3 + -1i + x) = 0
((-3 * -2 + i * -2 + x * -2) + 1x * (-3 + i + x) + x²(-3 + i + x))(-3 + -1i + x) = 0
((6 + -2i + -2x) + 1x * (-3 + i + x) + x²(-3 + i + x))(-3 + -1i + x) = 0
(6 + -2i + -2x + (-3 * 1x + i * 1x + x * 1x) + x²(-3 + i + x))(-3 + -1i + x) = 0

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

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

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

Combine like terms: -2x + -3x = -5x
(6 + -2i + 1ix + ix² + -5x + 1x² + -3x² + x³)(-3 + -1i + x) = 0

Combine like terms: 1x² + -3x² = -2x²
(6 + -2i + 1ix + ix² + -5x + -2x² + x³)(-3 + -1i + x) = 0

Multiply (6 + -2i + 1ix + ix² + -5x + -2x² + x³) * (-3 + -1i + x)
(6(-3 + -1i + x) + -2i * (-3 + -1i + x) + 1ix * (-3 + -1i + x) + ix²(-3 + -1i + x) + -5x * (-3 + -1i + x) + -2x² * (-3 + -1i + x) + x³(-3 + -1i + x)) = 0
((-3 * 6 + -1i * 6 + x * 6) + -2i * (-3 + -1i + x) + 1ix * (-3 + -1i + x) + ix²(-3 + -1i + x) + -5x * (-3 + -1i + x) + -2x² * (-3 + -1i + x) + x³(-3 + -1i + x)) = 0
((-18 + -6i + 6x) + -2i * (-3 + -1i + x) + 1ix * (-3 + -1i + x) + ix²(-3 + -1i + x) + -5x * (-3 + -1i + x) + -2x² * (-3 + -1i + x) + x³(-3 + -1i + x)) = 0
(-18 + -6i + 6x + (-3 * -2i + -1i * -2i + x * -2i) + 1ix * (-3 + -1i + x) + ix²(-3 + -1i + x) + -5x * (-3 + -1i + x) + -2x² * (-3 + -1i + x) + x³(-3 + -1i + x)) = 0

Reorder the terms:
(-18 + -6i + 6x + (6i + -2ix + 2i²) + 1ix * (-3 + -1i + x) + ix²(-3 + -1i + x) + -5x * (-3 + -1i + x) + -2x² * (-3 + -1i + x) + x³(-3 + -1i + x)) = 0
(-18 + -6i + 6x + (6i + -2ix + 2i²) + 1ix * (-3 + -1i + x) + ix²(-3 + -1i + x) + -5x * (-3 + -1i + x) + -2x² * (-3 + -1i + x) + x³(-3 + -1i + x)) = 0
(-18 + -6i + 6x + 6i + -2ix + 2i² + (-3 * 1ix + -1i * 1ix + x * 1ix) + ix²(-3 + -1i + x) + -5x * (-3 + -1i + x) + -2x² * (-3 + -1i + x) + x³(-3 + -1i + x)) = 0

Reorder the terms:
(-18 + -6i + 6x + 6i + -2ix + 2i² + (-3ix + 1ix² + -1i²x) + ix²(-3 + -1i + x) + -5x * (-3 + -1i + x) + -2x² * (-3 + -1i + x) + x³(-3 + -1i + x)) = 0
(-18 + -6i + 6x + 6i + -2ix + 2i² + (-3ix + 1ix² + -1i²x) + ix²(-3 + -1i + x) + -5x * (-3 + -1i + x) + -2x² * (-3 + -1i + x) + x³(-3 + -1i + x)) = 0
(-18 + -6i + 6x + 6i + -2ix + 2i² + -3ix + 1ix² + -1i²x + (-3 * ix² + -1i * ix² + x * ix²) + -5x * (-3 + -1i + x) + -2x² * (-3 + -1i + x) + x³(-3 + -1i + x)) = 0

Reorder the terms:
(-18 + -6i + 6x + 6i + -2ix + 2i² + -3ix + 1ix² + -1i²x + (-3ix² + ix³ + -1i²x²) + -5x * (-3 + -1i + x) + -2x² * (-3 + -1i + x) + x³(-3 + -1i + x)) = 0
(-18 + -6i + 6x + 6i + -2ix + 2i² + -3ix + 1ix² + -1i²x + (-3ix² + ix³ + -1i²x²) + -5x * (-3 + -1i + x) + -2x² * (-3 + -1i + x) + x³(-3 + -1i + x)) = 0
(-18 + -6i + 6x + 6i + -2ix + 2i² + -3ix + 1ix² + -1i²x + -3ix² + ix³ + -1i²x² + (-3 * -5x + -1i * -5x + x * -5x) + -2x² * (-3 + -1i + x) + x³(-3 + -1i + x)) = 0

Reorder the terms:
(-18 + -6i + 6x + 6i + -2ix + 2i² + -3ix + 1ix² + -1i²x + -3ix² + ix³ + -1i²x² + (5ix + 15x + -5x²) + -2x² * (-3 + -1i + x) + x³(-3 + -1i + x)) = 0
(-18 + -6i + 6x + 6i + -2ix + 2i² + -3ix + 1ix² + -1i²x + -3ix² + ix³ + -1i²x² + (5ix + 15x + -5x²) + -2x² * (-3 + -1i + x) + x³(-3 + -1i + x)) = 0
(-18 + -6i + 6x + 6i + -2ix + 2i² + -3ix + 1ix² + -1i²x + -3ix² + ix³ + -1i²x² + 5ix + 15x + -5x² + (-3 * -2x² + -1i * -2x² + x * -2x²) + x³(-3 + -1i + x)) = 0

Reorder the terms:
(-18 + -6i + 6x + 6i + -2ix + 2i² + -3ix + 1ix² + -1i²x + -3ix² + ix³ + -1i²x² + 5ix + 15x + -5x² + (2ix² + 6x² + -2x³) + x³(-3 + -1i + x)) = 0
(-18 + -6i + 6x + 6i + -2ix + 2i² + -3ix + 1ix² + -1i²x + -3ix² + ix³ + -1i²x² + 5ix + 15x + -5x² + (2ix² + 6x² + -2x³) + x³(-3 + -1i + x)) = 0
(-18 + -6i + 6x + 6i + -2ix + 2i² + -3ix + 1ix² + -1i²x + -3ix² + ix³ + -1i²x² + 5ix + 15x + -5x² + 2ix² + 6x² + -2x³ + (-3 * x³ + -1i * x³ + x * x³)) = 0

Reorder the terms:
(-18 + -6i + 6x + 6i + -2ix + 2i² + -3ix + 1ix² + -1i²x + -3ix² + ix³ + -1i²x² + 5ix + 15x + -5x² + 2ix² + 6x² + -2x³ + (-1ix³ + -3x³ + x⁴)) = 0
(-18 + -6i + 6x + 6i + -2ix + 2i² + -3ix + 1ix² + -1i²x + -3ix² + ix³ + -1i²x² + 5ix + 15x + -5x² + 2ix² + 6x² + -2x³ + (-1ix³ + -3x³ + x⁴)) = 0

Reorder the terms:
(-18 + -6i + 6i + -2ix + -3ix + 5ix + 1ix² + -3ix² + 2ix² + ix³ + -1ix³ + 2i² + -1i²x + -1i²x² + 6x + 15x + -5x² + 6x² + -2x³ + -3x³ + x⁴) = 0

Combine like terms: -6i + 6i = 0
(-18 + 0 + -2ix + -3ix + 5ix + 1ix² + -3ix² + 2ix² + ix³ + -1ix³ + 2i² + -1i²x + -1i²x² + 6x + 15x + -5x² + 6x² + -2x³ + -3x³ + x⁴) = 0
(-18 + -2ix + -3ix + 5ix + 1ix² + -3ix² + 2ix² + ix³ + -1ix³ + 2i² + -1i²x + -1i²x² + 6x + 15x + -5x² + 6x² + -2x³ + -3x³ + x⁴) = 0

Combine like terms: -2ix + -3ix = -5ix
(-18 + -5ix + 5ix + 1ix² + -3ix² + 2ix² + ix³ + -1ix³ + 2i² + -1i²x + -1i²x² + 6x + 15x + -5x² + 6x² + -2x³ + -3x³ + x⁴) = 0

Combine like terms: -5ix + 5ix = 0
(-18 + 0 + 1ix² + -3ix² + 2ix² + ix³ + -1ix³ + 2i² + -1i²x + -1i²x² + 6x + 15x + -5x² + 6x² + -2x³ + -3x³ + x⁴) = 0
(-18 + 1ix² + -3ix² + 2ix² + ix³ + -1ix³ + 2i² + -1i²x + -1i²x² + 6x + 15x + -5x² + 6x² + -2x³ + -3x³ + x⁴) = 0

Combine like terms: 1ix² + -3ix² = -2ix²
(-18 + -2ix² + 2ix² + ix³ + -1ix³ + 2i² + -1i²x + -1i²x² + 6x + 15x + -5x² + 6x² + -2x³ + -3x³ + x⁴) = 0

Combine like terms: -2ix² + 2ix² = 0
(-18 + 0 + ix³ + -1ix³ + 2i² + -1i²x + -1i²x² + 6x + 15x + -5x² + 6x² + -2x³ + -3x³ + x⁴) = 0
(-18 + ix³ + -1ix³ + 2i² + -1i²x + -1i²x² + 6x + 15x + -5x² + 6x² + -2x³ + -3x³ + x⁴) = 0

Combine like terms: ix³ + -1ix³ = 0
(-18 + 0 + 2i² + -1i²x + -1i²x² + 6x + 15x + -5x² + 6x² + -2x³ + -3x³ + x⁴) = 0
(-18 + 2i² + -1i²x + -1i²x² + 6x + 15x + -5x² + 6x² + -2x³ + -3x³ + x⁴) = 0

Combine like terms: 6x + 15x = 21x
(-18 + 2i² + -1i²x + -1i²x² + 21x + -5x² + 6x² + -2x³ + -3x³ + x⁴) = 0

Combine like terms: -5x² + 6x² = 1x²
(-18 + 2i² + -1i²x + -1i²x² + 21x + 1x² + -2x³ + -3x³ + x⁴) = 0

Combine like terms: -2x³ + -3x³ = -5x³
(-18 + 2i² + -1i²x + -1i²x² + 21x + 1x² + -5x³ + x⁴) = 0

Solving
-18 + 2i² + -1i²x + -1i²x² + 21x + 1x² + -5x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '18' to each side of the equation.
-18 + 2i² + -1i²x + -1i²x² + 21x + 1x² + -5x³ + 18 + x⁴ = 0 + 18

Reorder the terms:
-18 + 18 + 2i² + -1i²x + -1i²x² + 21x + 1x² + -5x³ + x⁴ = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 2i² + -1i²x + -1i²x² + 21x + 1x² + -5x³ + x⁴ = 0 + 18
2i² + -1i²x + -1i²x² + 21x + 1x² + -5x³ + x⁴ = 0 + 18

Combine like terms: 0 + 18 = 18
2i² + -1i²x + -1i²x² + 21x + 1x² + -5x³ + x⁴ = 18

Add '-21x' to each side of the equation.
2i² + -1i²x + -1i²x² + 21x + 1x² + -5x³ + -21x + x⁴ = 18 + -21x

Reorder the terms:
2i² + -1i²x + -1i²x² + 21x + -21x + 1x² + -5x³ + x⁴ = 18 + -21x

Combine like terms: 21x + -21x = 0
2i² + -1i²x + -1i²x² + 0 + 1x² + -5x³ + x⁴ = 18 + -21x
2i² + -1i²x + -1i²x² + 1x² + -5x³ + x⁴ = 18 + -21x

Add '-1x²' to each side of the equation.
2i² + -1i²x + -1i²x² + 1x² + -5x³ + -1x² + x⁴ = 18 + -21x + -1x²

Reorder the terms:
2i² + -1i²x + -1i²x² + 1x² + -1x² + -5x³ + x⁴ = 18 + -21x + -1x²

Combine like terms: 1x² + -1x² = 0
2i² + -1i²x + -1i²x² + 0 + -5x³ + x⁴ = 18 + -21x + -1x²
2i² + -1i²x + -1i²x² + -5x³ + x⁴ = 18 + -21x + -1x²

Add '5x³' to each side of the equation.
2i² + -1i²x + -1i²x² + -5x³ + 5x³ + x⁴ = 18 + -21x + -1x² + 5x³

Combine like terms: -5x³ + 5x³ = 0
2i² + -1i²x + -1i²x² + 0 + x⁴ = 18 + -21x + -1x² + 5x³
2i² + -1i²x + -1i²x² + x⁴ = 18 + -21x + -1x² + 5x³

Add '-1x⁴' to each side of the equation.
2i² + -1i²x + -1i²x² + x⁴ + -1x⁴ = 18 + -21x + -1x² + 5x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
2i² + -1i²x + -1i²x² + 0 = 18 + -21x + -1x² + 5x³ + -1x⁴
2i² + -1i²x + -1i²x² = 18 + -21x + -1x² + 5x³ + -1x⁴

Reorder the terms:
-18 + 2i² + -1i²x + -1i²x² + 21x + x² + -5x³ + x⁴ = 18 + -21x + -1x² + 5x³ + -1x⁴ + -18 + 21x + x² + -5x³ + x⁴

Reorder the terms:
-18 + 2i² + -1i²x + -1i²x² + 21x + x² + -5x³ + x⁴ = 18 + -18 + -21x + 21x + -1x² + x² + 5x³ + -5x³ + -1x⁴ + x⁴

Combine like terms: 18 + -18 = 0
-18 + 2i² + -1i²x + -1i²x² + 21x + x² + -5x³ + x⁴ = 0 + -21x + 21x + -1x² + x² + 5x³ + -5x³ + -1x⁴ + x⁴
-18 + 2i² + -1i²x + -1i²x² + 21x + x² + -5x³ + x⁴ = -21x + 21x + -1x² + x² + 5x³ + -5x³ + -1x⁴ + x⁴

Combine like terms: -21x + 21x = 0
-18 + 2i² + -1i²x + -1i²x² + 21x + x² + -5x³ + x⁴ = 0 + -1x² + x² + 5x³ + -5x³ + -1x⁴ + x⁴
-18 + 2i² + -1i²x + -1i²x² + 21x + x² + -5x³ + x⁴ = -1x² + x² + 5x³ + -5x³ + -1x⁴ + x⁴

Combine like terms: -1x² + x² = 0
-18 + 2i² + -1i²x + -1i²x² + 21x + x² + -5x³ + x⁴ = 0 + 5x³ + -5x³ + -1x⁴ + x⁴
-18 + 2i² + -1i²x + -1i²x² + 21x + x² + -5x³ + x⁴ = 5x³ + -5x³ + -1x⁴ + x⁴

Combine like terms: 5x³ + -5x³ = 0
-18 + 2i² + -1i²x + -1i²x² + 21x + x² + -5x³ + x⁴ = 0 + -1x⁴ + x⁴
-18 + 2i² + -1i²x + -1i²x² + 21x + x² + -5x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
-18 + 2i² + -1i²x + -1i²x² + 21x + x² + -5x³ + x⁴ = 0

The solution to this equation could not be determined.

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

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

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