(x)(x-1-2i)(x-1+2i)=y

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Solution for (x)(x-1-2i)(x-1+2i)=y equation: 


Simplifying
(x)(x + -1 + -2i)(x + -1 + 2i) = y

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

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

Multiply (-1 + -2i + x) * (-1 + 2i + x)
x(-1(-1 + 2i + x) + -2i * (-1 + 2i + x) + x(-1 + 2i + x)) = y
x((-1 * -1 + 2i * -1 + x * -1) + -2i * (-1 + 2i + x) + x(-1 + 2i + x)) = y
x((1 + -2i + -1x) + -2i * (-1 + 2i + x) + x(-1 + 2i + x)) = y
x(1 + -2i + -1x + (-1 * -2i + 2i * -2i + x * -2i) + x(-1 + 2i + x)) = y

Reorder the terms:
x(1 + -2i + -1x + (2i + -2ix + -4i2) + x(-1 + 2i + x)) = y
x(1 + -2i + -1x + (2i + -2ix + -4i2) + x(-1 + 2i + x)) = y
x(1 + -2i + -1x + 2i + -2ix + -4i2 + (-1 * x + 2i * x + x * x)) = y

Reorder the terms:
x(1 + -2i + -1x + 2i + -2ix + -4i2 + (2ix + -1x + x2)) = y
x(1 + -2i + -1x + 2i + -2ix + -4i2 + (2ix + -1x + x2)) = y

Reorder the terms:
x(1 + -2i + 2i + -2ix + 2ix + -4i2 + -1x + -1x + x2) = y

Combine like terms: -2i + 2i = 0
x(1 + 0 + -2ix + 2ix + -4i2 + -1x + -1x + x2) = y
x(1 + -2ix + 2ix + -4i2 + -1x + -1x + x2) = y

Combine like terms: -2ix + 2ix = 0
x(1 + 0 + -4i2 + -1x + -1x + x2) = y
x(1 + -4i2 + -1x + -1x + x2) = y

Combine like terms: -1x + -1x = -2x
x(1 + -4i2 + -2x + x2) = y
(1 * x + -4i2 * x + -2x * x + x2 * x) = y

Reorder the terms:
(-4i2x + 1x + -2x2 + x3) = y
(-4i2x + 1x + -2x2 + x3) = y

Solving
-4i2x + 1x + -2x2 + x3 = y

Solving for variable 'i'.

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

Add '-1x' to each side of the equation.
-4i2x + 1x + -2x2 + -1x + x3 = -1x + y

Reorder the terms:
-4i2x + 1x + -1x + -2x2 + x3 = -1x + y

Combine like terms: 1x + -1x = 0
-4i2x + 0 + -2x2 + x3 = -1x + y
-4i2x + -2x2 + x3 = -1x + y

Add '2x2' to each side of the equation.
-4i2x + -2x2 + 2x2 + x3 = -1x + 2x2 + y

Combine like terms: -2x2 + 2x2 = 0
-4i2x + 0 + x3 = -1x + 2x2 + y
-4i2x + x3 = -1x + 2x2 + y

Add '-1x3' to each side of the equation.
-4i2x + x3 + -1x3 = -1x + 2x2 + -1x3 + y

Combine like terms: x3 + -1x3 = 0
-4i2x + 0 = -1x + 2x2 + -1x3 + y
-4i2x = -1x + 2x2 + -1x3 + y

Divide each side by '-4x'.
i2 = 0.25 + -0.5x + 0.25x2 + -0.25x-1y

Simplifying
i2 = 0.25 + -0.5x + 0.25x2 + -0.25x-1y

Reorder the terms:
i2 = 0.25 + -0.25x-1y + -0.5x + 0.25x2

Reorder the terms:
-0.25 + i2 + 0.25x-1y + 0.5x + -0.25x2 = 0.25 + -0.25x-1y + -0.5x + 0.25x2 + -0.25 + 0.25x-1y + 0.5x + -0.25x2

Reorder the terms:
-0.25 + i2 + 0.25x-1y + 0.5x + -0.25x2 = 0.25 + -0.25 + -0.25x-1y + 0.25x-1y + -0.5x + 0.5x + 0.25x2 + -0.25x2

Combine like terms: 0.25 + -0.25 = 0.00
-0.25 + i2 + 0.25x-1y + 0.5x + -0.25x2 = 0.00 + -0.25x-1y + 0.25x-1y + -0.5x + 0.5x + 0.25x2 + -0.25x2
-0.25 + i2 + 0.25x-1y + 0.5x + -0.25x2 = -0.25x-1y + 0.25x-1y + -0.5x + 0.5x + 0.25x2 + -0.25x2

Combine like terms: -0.25x-1y + 0.25x-1y = 0.00
-0.25 + i2 + 0.25x-1y + 0.5x + -0.25x2 = 0.00 + -0.5x + 0.5x + 0.25x2 + -0.25x2
-0.25 + i2 + 0.25x-1y + 0.5x + -0.25x2 = -0.5x + 0.5x + 0.25x2 + -0.25x2

Combine like terms: -0.5x + 0.5x = 0.0
-0.25 + i2 + 0.25x-1y + 0.5x + -0.25x2 = 0.0 + 0.25x2 + -0.25x2
-0.25 + i2 + 0.25x-1y + 0.5x + -0.25x2 = 0.25x2 + -0.25x2

Combine like terms: 0.25x2 + -0.25x2 = 0.00
-0.25 + i2 + 0.25x-1y + 0.5x + -0.25x2 = 0.00

The solution to this equation could not be determined.

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