(2+4i+2ix+-2ix^2+-1x+-2x^2+x^3)(x-1+2i)=

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Solution for (2+4i+2ix+-2ix^2+-1x+-2x^2+x^3)(x-1+2i)= equation:

Simplifying
(2 + 4i + 2ix + -2ix² + -1x + -2x² + x³)(x + -1 + 2i) = 0

Reorder the terms:
(2 + 4i + 2ix + -2ix² + -1x + -2x² + x³)(-1 + 2i + x) = 0

Multiply (2 + 4i + 2ix + -2ix² + -1x + -2x² + x³) * (-1 + 2i + x)
(2(-1 + 2i + x) + 4i * (-1 + 2i + x) + 2ix * (-1 + 2i + x) + -2ix² * (-1 + 2i + x) + -1x * (-1 + 2i + x) + -2x² * (-1 + 2i + x) + x³(-1 + 2i + x)) = 0
((-1 * 2 + 2i * 2 + x * 2) + 4i * (-1 + 2i + x) + 2ix * (-1 + 2i + x) + -2ix² * (-1 + 2i + x) + -1x * (-1 + 2i + x) + -2x² * (-1 + 2i + x) + x³(-1 + 2i + x)) = 0
((-2 + 4i + 2x) + 4i * (-1 + 2i + x) + 2ix * (-1 + 2i + x) + -2ix² * (-1 + 2i + x) + -1x * (-1 + 2i + x) + -2x² * (-1 + 2i + x) + x³(-1 + 2i + x)) = 0
(-2 + 4i + 2x + (-1 * 4i + 2i * 4i + x * 4i) + 2ix * (-1 + 2i + x) + -2ix² * (-1 + 2i + x) + -1x * (-1 + 2i + x) + -2x² * (-1 + 2i + x) + x³(-1 + 2i + x)) = 0

Reorder the terms:
(-2 + 4i + 2x + (-4i + 4ix + 8i²) + 2ix * (-1 + 2i + x) + -2ix² * (-1 + 2i + x) + -1x * (-1 + 2i + x) + -2x² * (-1 + 2i + x) + x³(-1 + 2i + x)) = 0
(-2 + 4i + 2x + (-4i + 4ix + 8i²) + 2ix * (-1 + 2i + x) + -2ix² * (-1 + 2i + x) + -1x * (-1 + 2i + x) + -2x² * (-1 + 2i + x) + x³(-1 + 2i + x)) = 0
(-2 + 4i + 2x + -4i + 4ix + 8i² + (-1 * 2ix + 2i * 2ix + x * 2ix) + -2ix² * (-1 + 2i + x) + -1x * (-1 + 2i + x) + -2x² * (-1 + 2i + x) + x³(-1 + 2i + x)) = 0

Reorder the terms:
(-2 + 4i + 2x + -4i + 4ix + 8i² + (-2ix + 2ix² + 4i²x) + -2ix² * (-1 + 2i + x) + -1x * (-1 + 2i + x) + -2x² * (-1 + 2i + x) + x³(-1 + 2i + x)) = 0
(-2 + 4i + 2x + -4i + 4ix + 8i² + (-2ix + 2ix² + 4i²x) + -2ix² * (-1 + 2i + x) + -1x * (-1 + 2i + x) + -2x² * (-1 + 2i + x) + x³(-1 + 2i + x)) = 0
(-2 + 4i + 2x + -4i + 4ix + 8i² + -2ix + 2ix² + 4i²x + (-1 * -2ix² + 2i * -2ix² + x * -2ix²) + -1x * (-1 + 2i + x) + -2x² * (-1 + 2i + x) + x³(-1 + 2i + x)) = 0

Reorder the terms:
(-2 + 4i + 2x + -4i + 4ix + 8i² + -2ix + 2ix² + 4i²x + (2ix² + -2ix³ + -4i²x²) + -1x * (-1 + 2i + x) + -2x² * (-1 + 2i + x) + x³(-1 + 2i + x)) = 0
(-2 + 4i + 2x + -4i + 4ix + 8i² + -2ix + 2ix² + 4i²x + (2ix² + -2ix³ + -4i²x²) + -1x * (-1 + 2i + x) + -2x² * (-1 + 2i + x) + x³(-1 + 2i + x)) = 0
(-2 + 4i + 2x + -4i + 4ix + 8i² + -2ix + 2ix² + 4i²x + 2ix² + -2ix³ + -4i²x² + (-1 * -1x + 2i * -1x + x * -1x) + -2x² * (-1 + 2i + x) + x³(-1 + 2i + x)) = 0

Reorder the terms:
(-2 + 4i + 2x + -4i + 4ix + 8i² + -2ix + 2ix² + 4i²x + 2ix² + -2ix³ + -4i²x² + (-2ix + 1x + -1x²) + -2x² * (-1 + 2i + x) + x³(-1 + 2i + x)) = 0
(-2 + 4i + 2x + -4i + 4ix + 8i² + -2ix + 2ix² + 4i²x + 2ix² + -2ix³ + -4i²x² + (-2ix + 1x + -1x²) + -2x² * (-1 + 2i + x) + x³(-1 + 2i + x)) = 0
(-2 + 4i + 2x + -4i + 4ix + 8i² + -2ix + 2ix² + 4i²x + 2ix² + -2ix³ + -4i²x² + -2ix + 1x + -1x² + (-1 * -2x² + 2i * -2x² + x * -2x²) + x³(-1 + 2i + x)) = 0

Reorder the terms:
(-2 + 4i + 2x + -4i + 4ix + 8i² + -2ix + 2ix² + 4i²x + 2ix² + -2ix³ + -4i²x² + -2ix + 1x + -1x² + (-4ix² + 2x² + -2x³) + x³(-1 + 2i + x)) = 0
(-2 + 4i + 2x + -4i + 4ix + 8i² + -2ix + 2ix² + 4i²x + 2ix² + -2ix³ + -4i²x² + -2ix + 1x + -1x² + (-4ix² + 2x² + -2x³) + x³(-1 + 2i + x)) = 0
(-2 + 4i + 2x + -4i + 4ix + 8i² + -2ix + 2ix² + 4i²x + 2ix² + -2ix³ + -4i²x² + -2ix + 1x + -1x² + -4ix² + 2x² + -2x³ + (-1 * x³ + 2i * x³ + x * x³)) = 0

Reorder the terms:
(-2 + 4i + 2x + -4i + 4ix + 8i² + -2ix + 2ix² + 4i²x + 2ix² + -2ix³ + -4i²x² + -2ix + 1x + -1x² + -4ix² + 2x² + -2x³ + (2ix³ + -1x³ + x⁴)) = 0
(-2 + 4i + 2x + -4i + 4ix + 8i² + -2ix + 2ix² + 4i²x + 2ix² + -2ix³ + -4i²x² + -2ix + 1x + -1x² + -4ix² + 2x² + -2x³ + (2ix³ + -1x³ + x⁴)) = 0

Reorder the terms:
(-2 + 4i + -4i + 4ix + -2ix + -2ix + 2ix² + 2ix² + -4ix² + -2ix³ + 2ix³ + 8i² + 4i²x + -4i²x² + 2x + 1x + -1x² + 2x² + -2x³ + -1x³ + x⁴) = 0

Combine like terms: 4i + -4i = 0
(-2 + 0 + 4ix + -2ix + -2ix + 2ix² + 2ix² + -4ix² + -2ix³ + 2ix³ + 8i² + 4i²x + -4i²x² + 2x + 1x + -1x² + 2x² + -2x³ + -1x³ + x⁴) = 0
(-2 + 4ix + -2ix + -2ix + 2ix² + 2ix² + -4ix² + -2ix³ + 2ix³ + 8i² + 4i²x + -4i²x² + 2x + 1x + -1x² + 2x² + -2x³ + -1x³ + x⁴) = 0

Combine like terms: 4ix + -2ix = 2ix
(-2 + 2ix + -2ix + 2ix² + 2ix² + -4ix² + -2ix³ + 2ix³ + 8i² + 4i²x + -4i²x² + 2x + 1x + -1x² + 2x² + -2x³ + -1x³ + x⁴) = 0

Combine like terms: 2ix + -2ix = 0
(-2 + 0 + 2ix² + 2ix² + -4ix² + -2ix³ + 2ix³ + 8i² + 4i²x + -4i²x² + 2x + 1x + -1x² + 2x² + -2x³ + -1x³ + x⁴) = 0
(-2 + 2ix² + 2ix² + -4ix² + -2ix³ + 2ix³ + 8i² + 4i²x + -4i²x² + 2x + 1x + -1x² + 2x² + -2x³ + -1x³ + x⁴) = 0

Combine like terms: 2ix² + 2ix² = 4ix²
(-2 + 4ix² + -4ix² + -2ix³ + 2ix³ + 8i² + 4i²x + -4i²x² + 2x + 1x + -1x² + 2x² + -2x³ + -1x³ + x⁴) = 0

Combine like terms: 4ix² + -4ix² = 0
(-2 + 0 + -2ix³ + 2ix³ + 8i² + 4i²x + -4i²x² + 2x + 1x + -1x² + 2x² + -2x³ + -1x³ + x⁴) = 0
(-2 + -2ix³ + 2ix³ + 8i² + 4i²x + -4i²x² + 2x + 1x + -1x² + 2x² + -2x³ + -1x³ + x⁴) = 0

Combine like terms: -2ix³ + 2ix³ = 0
(-2 + 0 + 8i² + 4i²x + -4i²x² + 2x + 1x + -1x² + 2x² + -2x³ + -1x³ + x⁴) = 0
(-2 + 8i² + 4i²x + -4i²x² + 2x + 1x + -1x² + 2x² + -2x³ + -1x³ + x⁴) = 0

Combine like terms: 2x + 1x = 3x
(-2 + 8i² + 4i²x + -4i²x² + 3x + -1x² + 2x² + -2x³ + -1x³ + x⁴) = 0

Combine like terms: -1x² + 2x² = 1x²
(-2 + 8i² + 4i²x + -4i²x² + 3x + 1x² + -2x³ + -1x³ + x⁴) = 0

Combine like terms: -2x³ + -1x³ = -3x³
(-2 + 8i² + 4i²x + -4i²x² + 3x + 1x² + -3x³ + x⁴) = 0

Solving
-2 + 8i² + 4i²x + -4i²x² + 3x + 1x² + -3x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '2' to each side of the equation.
-2 + 8i² + 4i²x + -4i²x² + 3x + 1x² + -3x³ + 2 + x⁴ = 0 + 2

Reorder the terms:
-2 + 2 + 8i² + 4i²x + -4i²x² + 3x + 1x² + -3x³ + x⁴ = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 8i² + 4i²x + -4i²x² + 3x + 1x² + -3x³ + x⁴ = 0 + 2
8i² + 4i²x + -4i²x² + 3x + 1x² + -3x³ + x⁴ = 0 + 2

Combine like terms: 0 + 2 = 2
8i² + 4i²x + -4i²x² + 3x + 1x² + -3x³ + x⁴ = 2

Add '-3x' to each side of the equation.
8i² + 4i²x + -4i²x² + 3x + 1x² + -3x³ + -3x + x⁴ = 2 + -3x

Reorder the terms:
8i² + 4i²x + -4i²x² + 3x + -3x + 1x² + -3x³ + x⁴ = 2 + -3x

Combine like terms: 3x + -3x = 0
8i² + 4i²x + -4i²x² + 0 + 1x² + -3x³ + x⁴ = 2 + -3x
8i² + 4i²x + -4i²x² + 1x² + -3x³ + x⁴ = 2 + -3x

Add '-1x²' to each side of the equation.
8i² + 4i²x + -4i²x² + 1x² + -3x³ + -1x² + x⁴ = 2 + -3x + -1x²

Reorder the terms:
8i² + 4i²x + -4i²x² + 1x² + -1x² + -3x³ + x⁴ = 2 + -3x + -1x²

Combine like terms: 1x² + -1x² = 0
8i² + 4i²x + -4i²x² + 0 + -3x³ + x⁴ = 2 + -3x + -1x²
8i² + 4i²x + -4i²x² + -3x³ + x⁴ = 2 + -3x + -1x²

Add '3x³' to each side of the equation.
8i² + 4i²x + -4i²x² + -3x³ + 3x³ + x⁴ = 2 + -3x + -1x² + 3x³

Combine like terms: -3x³ + 3x³ = 0
8i² + 4i²x + -4i²x² + 0 + x⁴ = 2 + -3x + -1x² + 3x³
8i² + 4i²x + -4i²x² + x⁴ = 2 + -3x + -1x² + 3x³

Add '-1x⁴' to each side of the equation.
8i² + 4i²x + -4i²x² + x⁴ + -1x⁴ = 2 + -3x + -1x² + 3x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
8i² + 4i²x + -4i²x² + 0 = 2 + -3x + -1x² + 3x³ + -1x⁴
8i² + 4i²x + -4i²x² = 2 + -3x + -1x² + 3x³ + -1x⁴

Reorder the terms:
-2 + 8i² + 4i²x + -4i²x² + 3x + x² + -3x³ + x⁴ = 2 + -3x + -1x² + 3x³ + -1x⁴ + -2 + 3x + x² + -3x³ + x⁴

Reorder the terms:
-2 + 8i² + 4i²x + -4i²x² + 3x + x² + -3x³ + x⁴ = 2 + -2 + -3x + 3x + -1x² + x² + 3x³ + -3x³ + -1x⁴ + x⁴

Combine like terms: 2 + -2 = 0
-2 + 8i² + 4i²x + -4i²x² + 3x + x² + -3x³ + x⁴ = 0 + -3x + 3x + -1x² + x² + 3x³ + -3x³ + -1x⁴ + x⁴
-2 + 8i² + 4i²x + -4i²x² + 3x + x² + -3x³ + x⁴ = -3x + 3x + -1x² + x² + 3x³ + -3x³ + -1x⁴ + x⁴

Combine like terms: -3x + 3x = 0
-2 + 8i² + 4i²x + -4i²x² + 3x + x² + -3x³ + x⁴ = 0 + -1x² + x² + 3x³ + -3x³ + -1x⁴ + x⁴
-2 + 8i² + 4i²x + -4i²x² + 3x + x² + -3x³ + x⁴ = -1x² + x² + 3x³ + -3x³ + -1x⁴ + x⁴

Combine like terms: -1x² + x² = 0
-2 + 8i² + 4i²x + -4i²x² + 3x + x² + -3x³ + x⁴ = 0 + 3x³ + -3x³ + -1x⁴ + x⁴
-2 + 8i² + 4i²x + -4i²x² + 3x + x² + -3x³ + x⁴ = 3x³ + -3x³ + -1x⁴ + x⁴

Combine like terms: 3x³ + -3x³ = 0
-2 + 8i² + 4i²x + -4i²x² + 3x + x² + -3x³ + x⁴ = 0 + -1x⁴ + x⁴
-2 + 8i² + 4i²x + -4i²x² + 3x + x² + -3x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
-2 + 8i² + 4i²x + -4i²x² + 3x + x² + -3x³ + x⁴ = 0

The solution to this equation could not be determined.

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(2+4i+2ix+-2ix^2+-1x+-2x^2+x^3)(x-1+2i)=

Simple and best practice solution for (2+4i+2ix+-2ix^2+-1x+-2x^2+x^3)(x-1+2i)= 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 (2+4i+2ix+-2ix^2+-1x+-2x^2+x^3)(x-1+2i)= equation:

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