[x-(1-2i)][x-(1+2i)]=

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


Simplifying
[x + -1(1 + -2i)][x + -1(1 + 2i)] = 0
[x + (1 * -1 + -2i * -1)][x + -1(1 + 2i)] = 0
[x + (-1 + 2i)][x + -1(1 + 2i)] = 0

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

Reorder the terms:
[-1 + 2i + x][-1 + -2i + x] = 0

Multiply [-1 + 2i + x] * [-1 + -2i + x]
[-1[-1 + -2i + x] + 2i * [-1 + -2i + x] + x[-1 + -2i + x]] = 0
[[-1 * -1 + -2i * -1 + x * -1] + 2i * [-1 + -2i + x] + x[-1 + -2i + x]] = 0
[[1 + 2i + -1x] + 2i * [-1 + -2i + x] + x[-1 + -2i + x]] = 0
[1 + 2i + -1x + [-1 * 2i + -2i * 2i + x * 2i] + x[-1 + -2i + x]] = 0

Reorder the terms:
[1 + 2i + -1x + [-2i + 2ix + -4i2] + x[-1 + -2i + x]] = 0
[1 + 2i + -1x + [-2i + 2ix + -4i2] + x[-1 + -2i + x]] = 0
[1 + 2i + -1x + -2i + 2ix + -4i2 + [-1 * x + -2i * x + x * x]] = 0

Reorder the terms:
[1 + 2i + -1x + -2i + 2ix + -4i2 + [-2ix + -1x + x2]] = 0
[1 + 2i + -1x + -2i + 2ix + -4i2 + [-2ix + -1x + x2]] = 0

Reorder the terms:
[1 + 2i + -2i + 2ix + -2ix + -4i2 + -1x + -1x + x2] = 0

Combine like terms: 2i + -2i = 0
[1 + 0 + 2ix + -2ix + -4i2 + -1x + -1x + x2] = 0
[1 + 2ix + -2ix + -4i2 + -1x + -1x + x2] = 0

Combine like terms: 2ix + -2ix = 0
[1 + 0 + -4i2 + -1x + -1x + x2] = 0
[1 + -4i2 + -1x + -1x + x2] = 0

Combine like terms: -1x + -1x = -2x
[1 + -4i2 + -2x + x2] = 0

Solving
1 + -4i2 + -2x + x2 = 0

Solving for variable 'i'.

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

Add '-1' to each side of the equation.
1 + -4i2 + -2x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -4i2 + -2x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4i2 + -2x + x2 = 0 + -1
-4i2 + -2x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-4i2 + -2x + x2 = -1

Add '2x' to each side of the equation.
-4i2 + -2x + 2x + x2 = -1 + 2x

Combine like terms: -2x + 2x = 0
-4i2 + 0 + x2 = -1 + 2x
-4i2 + x2 = -1 + 2x

Add '-1x2' to each side of the equation.
-4i2 + x2 + -1x2 = -1 + 2x + -1x2

Combine like terms: x2 + -1x2 = 0
-4i2 + 0 = -1 + 2x + -1x2
-4i2 = -1 + 2x + -1x2

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

Simplifying
i2 = 0.25 + -0.5x + 0.25x2

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

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

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

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

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

The solution to this equation could not be determined.

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