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

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

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

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

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

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

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

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

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

Multiply (-6 + 1x + x²) * (-2 + 1i + x)
(-6(-2 + 1i + x) + 1x * (-2 + 1i + x) + x²(-2 + 1i + x))(-2 + -1i + x) = 0
((-2 * -6 + 1i * -6 + x * -6) + 1x * (-2 + 1i + x) + x²(-2 + 1i + x))(-2 + -1i + x) = 0
((12 + -6i + -6x) + 1x * (-2 + 1i + x) + x²(-2 + 1i + x))(-2 + -1i + x) = 0
(12 + -6i + -6x + (-2 * 1x + 1i * 1x + x * 1x) + x²(-2 + 1i + x))(-2 + -1i + x) = 0

Reorder the terms:
(12 + -6i + -6x + (1ix + -2x + 1x²) + x²(-2 + 1i + x))(-2 + -1i + x) = 0
(12 + -6i + -6x + (1ix + -2x + 1x²) + x²(-2 + 1i + x))(-2 + -1i + x) = 0
(12 + -6i + -6x + 1ix + -2x + 1x² + (-2 * x² + 1i * x² + x * x²))(-2 + -1i + x) = 0

Reorder the terms:
(12 + -6i + -6x + 1ix + -2x + 1x² + (1ix² + -2x² + x³))(-2 + -1i + x) = 0
(12 + -6i + -6x + 1ix + -2x + 1x² + (1ix² + -2x² + x³))(-2 + -1i + x) = 0

Reorder the terms:
(12 + -6i + 1ix + 1ix² + -6x + -2x + 1x² + -2x² + x³)(-2 + -1i + x) = 0

Combine like terms: -6x + -2x = -8x
(12 + -6i + 1ix + 1ix² + -8x + 1x² + -2x² + x³)(-2 + -1i + x) = 0

Combine like terms: 1x² + -2x² = -1x²
(12 + -6i + 1ix + 1ix² + -8x + -1x² + x³)(-2 + -1i + x) = 0

Multiply (12 + -6i + 1ix + 1ix² + -8x + -1x² + x³) * (-2 + -1i + x)
(12(-2 + -1i + x) + -6i * (-2 + -1i + x) + 1ix * (-2 + -1i + x) + 1ix² * (-2 + -1i + x) + -8x * (-2 + -1i + x) + -1x² * (-2 + -1i + x) + x³(-2 + -1i + x)) = 0
((-2 * 12 + -1i * 12 + x * 12) + -6i * (-2 + -1i + x) + 1ix * (-2 + -1i + x) + 1ix² * (-2 + -1i + x) + -8x * (-2 + -1i + x) + -1x² * (-2 + -1i + x) + x³(-2 + -1i + x)) = 0
((-24 + -12i + 12x) + -6i * (-2 + -1i + x) + 1ix * (-2 + -1i + x) + 1ix² * (-2 + -1i + x) + -8x * (-2 + -1i + x) + -1x² * (-2 + -1i + x) + x³(-2 + -1i + x)) = 0
(-24 + -12i + 12x + (-2 * -6i + -1i * -6i + x * -6i) + 1ix * (-2 + -1i + x) + 1ix² * (-2 + -1i + x) + -8x * (-2 + -1i + x) + -1x² * (-2 + -1i + x) + x³(-2 + -1i + x)) = 0

Reorder the terms:
(-24 + -12i + 12x + (12i + -6ix + 6i²) + 1ix * (-2 + -1i + x) + 1ix² * (-2 + -1i + x) + -8x * (-2 + -1i + x) + -1x² * (-2 + -1i + x) + x³(-2 + -1i + x)) = 0
(-24 + -12i + 12x + (12i + -6ix + 6i²) + 1ix * (-2 + -1i + x) + 1ix² * (-2 + -1i + x) + -8x * (-2 + -1i + x) + -1x² * (-2 + -1i + x) + x³(-2 + -1i + x)) = 0
(-24 + -12i + 12x + 12i + -6ix + 6i² + (-2 * 1ix + -1i * 1ix + x * 1ix) + 1ix² * (-2 + -1i + x) + -8x * (-2 + -1i + x) + -1x² * (-2 + -1i + x) + x³(-2 + -1i + x)) = 0

Reorder the terms:
(-24 + -12i + 12x + 12i + -6ix + 6i² + (-2ix + 1ix² + -1i²x) + 1ix² * (-2 + -1i + x) + -8x * (-2 + -1i + x) + -1x² * (-2 + -1i + x) + x³(-2 + -1i + x)) = 0
(-24 + -12i + 12x + 12i + -6ix + 6i² + (-2ix + 1ix² + -1i²x) + 1ix² * (-2 + -1i + x) + -8x * (-2 + -1i + x) + -1x² * (-2 + -1i + x) + x³(-2 + -1i + x)) = 0
(-24 + -12i + 12x + 12i + -6ix + 6i² + -2ix + 1ix² + -1i²x + (-2 * 1ix² + -1i * 1ix² + x * 1ix²) + -8x * (-2 + -1i + x) + -1x² * (-2 + -1i + x) + x³(-2 + -1i + x)) = 0

Reorder the terms:
(-24 + -12i + 12x + 12i + -6ix + 6i² + -2ix + 1ix² + -1i²x + (-2ix² + 1ix³ + -1i²x²) + -8x * (-2 + -1i + x) + -1x² * (-2 + -1i + x) + x³(-2 + -1i + x)) = 0
(-24 + -12i + 12x + 12i + -6ix + 6i² + -2ix + 1ix² + -1i²x + (-2ix² + 1ix³ + -1i²x²) + -8x * (-2 + -1i + x) + -1x² * (-2 + -1i + x) + x³(-2 + -1i + x)) = 0
(-24 + -12i + 12x + 12i + -6ix + 6i² + -2ix + 1ix² + -1i²x + -2ix² + 1ix³ + -1i²x² + (-2 * -8x + -1i * -8x + x * -8x) + -1x² * (-2 + -1i + x) + x³(-2 + -1i + x)) = 0

Reorder the terms:
(-24 + -12i + 12x + 12i + -6ix + 6i² + -2ix + 1ix² + -1i²x + -2ix² + 1ix³ + -1i²x² + (8ix + 16x + -8x²) + -1x² * (-2 + -1i + x) + x³(-2 + -1i + x)) = 0
(-24 + -12i + 12x + 12i + -6ix + 6i² + -2ix + 1ix² + -1i²x + -2ix² + 1ix³ + -1i²x² + (8ix + 16x + -8x²) + -1x² * (-2 + -1i + x) + x³(-2 + -1i + x)) = 0
(-24 + -12i + 12x + 12i + -6ix + 6i² + -2ix + 1ix² + -1i²x + -2ix² + 1ix³ + -1i²x² + 8ix + 16x + -8x² + (-2 * -1x² + -1i * -1x² + x * -1x²) + x³(-2 + -1i + x)) = 0

Reorder the terms:
(-24 + -12i + 12x + 12i + -6ix + 6i² + -2ix + 1ix² + -1i²x + -2ix² + 1ix³ + -1i²x² + 8ix + 16x + -8x² + (1ix² + 2x² + -1x³) + x³(-2 + -1i + x)) = 0
(-24 + -12i + 12x + 12i + -6ix + 6i² + -2ix + 1ix² + -1i²x + -2ix² + 1ix³ + -1i²x² + 8ix + 16x + -8x² + (1ix² + 2x² + -1x³) + x³(-2 + -1i + x)) = 0
(-24 + -12i + 12x + 12i + -6ix + 6i² + -2ix + 1ix² + -1i²x + -2ix² + 1ix³ + -1i²x² + 8ix + 16x + -8x² + 1ix² + 2x² + -1x³ + (-2 * x³ + -1i * x³ + x * x³)) = 0

Reorder the terms:
(-24 + -12i + 12x + 12i + -6ix + 6i² + -2ix + 1ix² + -1i²x + -2ix² + 1ix³ + -1i²x² + 8ix + 16x + -8x² + 1ix² + 2x² + -1x³ + (-1ix³ + -2x³ + x⁴)) = 0
(-24 + -12i + 12x + 12i + -6ix + 6i² + -2ix + 1ix² + -1i²x + -2ix² + 1ix³ + -1i²x² + 8ix + 16x + -8x² + 1ix² + 2x² + -1x³ + (-1ix³ + -2x³ + x⁴)) = 0

Reorder the terms:
(-24 + -12i + 12i + -6ix + -2ix + 8ix + 1ix² + -2ix² + 1ix² + 1ix³ + -1ix³ + 6i² + -1i²x + -1i²x² + 12x + 16x + -8x² + 2x² + -1x³ + -2x³ + x⁴) = 0

Combine like terms: -12i + 12i = 0
(-24 + 0 + -6ix + -2ix + 8ix + 1ix² + -2ix² + 1ix² + 1ix³ + -1ix³ + 6i² + -1i²x + -1i²x² + 12x + 16x + -8x² + 2x² + -1x³ + -2x³ + x⁴) = 0
(-24 + -6ix + -2ix + 8ix + 1ix² + -2ix² + 1ix² + 1ix³ + -1ix³ + 6i² + -1i²x + -1i²x² + 12x + 16x + -8x² + 2x² + -1x³ + -2x³ + x⁴) = 0

Combine like terms: -6ix + -2ix = -8ix
(-24 + -8ix + 8ix + 1ix² + -2ix² + 1ix² + 1ix³ + -1ix³ + 6i² + -1i²x + -1i²x² + 12x + 16x + -8x² + 2x² + -1x³ + -2x³ + x⁴) = 0

Combine like terms: -8ix + 8ix = 0
(-24 + 0 + 1ix² + -2ix² + 1ix² + 1ix³ + -1ix³ + 6i² + -1i²x + -1i²x² + 12x + 16x + -8x² + 2x² + -1x³ + -2x³ + x⁴) = 0
(-24 + 1ix² + -2ix² + 1ix² + 1ix³ + -1ix³ + 6i² + -1i²x + -1i²x² + 12x + 16x + -8x² + 2x² + -1x³ + -2x³ + x⁴) = 0

Combine like terms: 1ix² + -2ix² = -1ix²
(-24 + -1ix² + 1ix² + 1ix³ + -1ix³ + 6i² + -1i²x + -1i²x² + 12x + 16x + -8x² + 2x² + -1x³ + -2x³ + x⁴) = 0

Combine like terms: -1ix² + 1ix² = 0
(-24 + 0 + 1ix³ + -1ix³ + 6i² + -1i²x + -1i²x² + 12x + 16x + -8x² + 2x² + -1x³ + -2x³ + x⁴) = 0
(-24 + 1ix³ + -1ix³ + 6i² + -1i²x + -1i²x² + 12x + 16x + -8x² + 2x² + -1x³ + -2x³ + x⁴) = 0

Combine like terms: 1ix³ + -1ix³ = 0
(-24 + 0 + 6i² + -1i²x + -1i²x² + 12x + 16x + -8x² + 2x² + -1x³ + -2x³ + x⁴) = 0
(-24 + 6i² + -1i²x + -1i²x² + 12x + 16x + -8x² + 2x² + -1x³ + -2x³ + x⁴) = 0

Combine like terms: 12x + 16x = 28x
(-24 + 6i² + -1i²x + -1i²x² + 28x + -8x² + 2x² + -1x³ + -2x³ + x⁴) = 0

Combine like terms: -8x² + 2x² = -6x²
(-24 + 6i² + -1i²x + -1i²x² + 28x + -6x² + -1x³ + -2x³ + x⁴) = 0

Combine like terms: -1x³ + -2x³ = -3x³
(-24 + 6i² + -1i²x + -1i²x² + 28x + -6x² + -3x³ + x⁴) = 0

Solving
-24 + 6i² + -1i²x + -1i²x² + 28x + -6x² + -3x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '24' to each side of the equation.
-24 + 6i² + -1i²x + -1i²x² + 28x + -6x² + -3x³ + 24 + x⁴ = 0 + 24

Reorder the terms:
-24 + 24 + 6i² + -1i²x + -1i²x² + 28x + -6x² + -3x³ + x⁴ = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 6i² + -1i²x + -1i²x² + 28x + -6x² + -3x³ + x⁴ = 0 + 24
6i² + -1i²x + -1i²x² + 28x + -6x² + -3x³ + x⁴ = 0 + 24

Combine like terms: 0 + 24 = 24
6i² + -1i²x + -1i²x² + 28x + -6x² + -3x³ + x⁴ = 24

Add '-28x' to each side of the equation.
6i² + -1i²x + -1i²x² + 28x + -6x² + -3x³ + -28x + x⁴ = 24 + -28x

Reorder the terms:
6i² + -1i²x + -1i²x² + 28x + -28x + -6x² + -3x³ + x⁴ = 24 + -28x

Combine like terms: 28x + -28x = 0
6i² + -1i²x + -1i²x² + 0 + -6x² + -3x³ + x⁴ = 24 + -28x
6i² + -1i²x + -1i²x² + -6x² + -3x³ + x⁴ = 24 + -28x

Add '6x²' to each side of the equation.
6i² + -1i²x + -1i²x² + -6x² + -3x³ + 6x² + x⁴ = 24 + -28x + 6x²

Reorder the terms:
6i² + -1i²x + -1i²x² + -6x² + 6x² + -3x³ + x⁴ = 24 + -28x + 6x²

Combine like terms: -6x² + 6x² = 0
6i² + -1i²x + -1i²x² + 0 + -3x³ + x⁴ = 24 + -28x + 6x²
6i² + -1i²x + -1i²x² + -3x³ + x⁴ = 24 + -28x + 6x²

Add '3x³' to each side of the equation.
6i² + -1i²x + -1i²x² + -3x³ + 3x³ + x⁴ = 24 + -28x + 6x² + 3x³

Combine like terms: -3x³ + 3x³ = 0
6i² + -1i²x + -1i²x² + 0 + x⁴ = 24 + -28x + 6x² + 3x³
6i² + -1i²x + -1i²x² + x⁴ = 24 + -28x + 6x² + 3x³

Add '-1x⁴' to each side of the equation.
6i² + -1i²x + -1i²x² + x⁴ + -1x⁴ = 24 + -28x + 6x² + 3x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
6i² + -1i²x + -1i²x² + 0 = 24 + -28x + 6x² + 3x³ + -1x⁴
6i² + -1i²x + -1i²x² = 24 + -28x + 6x² + 3x³ + -1x⁴

Reorder the terms:
-24 + 6i² + -1i²x + -1i²x² + 28x + -6x² + -3x³ + x⁴ = 24 + -28x + 6x² + 3x³ + -1x⁴ + -24 + 28x + -6x² + -3x³ + x⁴

Reorder the terms:
-24 + 6i² + -1i²x + -1i²x² + 28x + -6x² + -3x³ + x⁴ = 24 + -24 + -28x + 28x + 6x² + -6x² + 3x³ + -3x³ + -1x⁴ + x⁴

Combine like terms: 24 + -24 = 0
-24 + 6i² + -1i²x + -1i²x² + 28x + -6x² + -3x³ + x⁴ = 0 + -28x + 28x + 6x² + -6x² + 3x³ + -3x³ + -1x⁴ + x⁴
-24 + 6i² + -1i²x + -1i²x² + 28x + -6x² + -3x³ + x⁴ = -28x + 28x + 6x² + -6x² + 3x³ + -3x³ + -1x⁴ + x⁴

Combine like terms: -28x + 28x = 0
-24 + 6i² + -1i²x + -1i²x² + 28x + -6x² + -3x³ + x⁴ = 0 + 6x² + -6x² + 3x³ + -3x³ + -1x⁴ + x⁴
-24 + 6i² + -1i²x + -1i²x² + 28x + -6x² + -3x³ + x⁴ = 6x² + -6x² + 3x³ + -3x³ + -1x⁴ + x⁴

Combine like terms: 6x² + -6x² = 0
-24 + 6i² + -1i²x + -1i²x² + 28x + -6x² + -3x³ + x⁴ = 0 + 3x³ + -3x³ + -1x⁴ + x⁴
-24 + 6i² + -1i²x + -1i²x² + 28x + -6x² + -3x³ + x⁴ = 3x³ + -3x³ + -1x⁴ + x⁴

Combine like terms: 3x³ + -3x³ = 0
-24 + 6i² + -1i²x + -1i²x² + 28x + -6x² + -3x³ + x⁴ = 0 + -1x⁴ + x⁴
-24 + 6i² + -1i²x + -1i²x² + 28x + -6x² + -3x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
-24 + 6i² + -1i²x + -1i²x² + 28x + -6x² + -3x³ + x⁴ = 0

The solution to this equation could not be determined.

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

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

See similar equations:

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