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

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

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

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

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

Combine like terms: 2x + 1x = 3x
(-2 + -8i + 4ix + 8ix2 + -4ix3 + -8i2 + -4i2x + 4i2x2 + 3x + -1x2 + 2x2 + -2x3 + -1x3 + x4) = 0

Combine like terms: -1x2 + 2x2 = 1x2
(-2 + -8i + 4ix + 8ix2 + -4ix3 + -8i2 + -4i2x + 4i2x2 + 3x + 1x2 + -2x3 + -1x3 + x4) = 0

Combine like terms: -2x3 + -1x3 = -3x3
(-2 + -8i + 4ix + 8ix2 + -4ix3 + -8i2 + -4i2x + 4i2x2 + 3x + 1x2 + -3x3 + x4) = 0

Solving
-2 + -8i + 4ix + 8ix2 + -4ix3 + -8i2 + -4i2x + 4i2x2 + 3x + 1x2 + -3x3 + x4 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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