[x-(3+2i)][x-(3-2i)]=

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Solution for [x-(3+2i)][x-(3-2i)]= equation: 


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

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

Reorder the terms:
[-3 + -2i + x][-3 + 2i + x] = 0

Multiply [-3 + -2i + x] * [-3 + 2i + x]
[-3[-3 + 2i + x] + -2i * [-3 + 2i + x] + x[-3 + 2i + x]] = 0
[[-3 * -3 + 2i * -3 + x * -3] + -2i * [-3 + 2i + x] + x[-3 + 2i + x]] = 0
[[9 + -6i + -3x] + -2i * [-3 + 2i + x] + x[-3 + 2i + x]] = 0
[9 + -6i + -3x + [-3 * -2i + 2i * -2i + x * -2i] + x[-3 + 2i + x]] = 0

Reorder the terms:
[9 + -6i + -3x + [6i + -2ix + -4i2] + x[-3 + 2i + x]] = 0
[9 + -6i + -3x + [6i + -2ix + -4i2] + x[-3 + 2i + x]] = 0
[9 + -6i + -3x + 6i + -2ix + -4i2 + [-3 * x + 2i * x + x * x]] = 0

Reorder the terms:
[9 + -6i + -3x + 6i + -2ix + -4i2 + [2ix + -3x + x2]] = 0
[9 + -6i + -3x + 6i + -2ix + -4i2 + [2ix + -3x + x2]] = 0

Reorder the terms:
[9 + -6i + 6i + -2ix + 2ix + -4i2 + -3x + -3x + x2] = 0

Combine like terms: -6i + 6i = 0
[9 + 0 + -2ix + 2ix + -4i2 + -3x + -3x + x2] = 0
[9 + -2ix + 2ix + -4i2 + -3x + -3x + x2] = 0

Combine like terms: -2ix + 2ix = 0
[9 + 0 + -4i2 + -3x + -3x + x2] = 0
[9 + -4i2 + -3x + -3x + x2] = 0

Combine like terms: -3x + -3x = -6x
[9 + -4i2 + -6x + x2] = 0

Solving
9 + -4i2 + -6x + x2 = 0

Solving for variable 'i'.

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

Add '-9' to each side of the equation.
9 + -4i2 + -6x + -9 + x2 = 0 + -9

Reorder the terms:
9 + -9 + -4i2 + -6x + x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4i2 + -6x + x2 = 0 + -9
-4i2 + -6x + x2 = 0 + -9

Combine like terms: 0 + -9 = -9
-4i2 + -6x + x2 = -9

Add '6x' to each side of the equation.
-4i2 + -6x + 6x + x2 = -9 + 6x

Combine like terms: -6x + 6x = 0
-4i2 + 0 + x2 = -9 + 6x
-4i2 + x2 = -9 + 6x

Add '-1x2' to each side of the equation.
-4i2 + x2 + -1x2 = -9 + 6x + -1x2

Combine like terms: x2 + -1x2 = 0
-4i2 + 0 = -9 + 6x + -1x2
-4i2 = -9 + 6x + -1x2

Divide each side by '-4'.
i2 = 2.25 + -1.5x + 0.25x2

Simplifying
i2 = 2.25 + -1.5x + 0.25x2

Reorder the terms:
-2.25 + i2 + 1.5x + -0.25x2 = 2.25 + -1.5x + 0.25x2 + -2.25 + 1.5x + -0.25x2

Reorder the terms:
-2.25 + i2 + 1.5x + -0.25x2 = 2.25 + -2.25 + -1.5x + 1.5x + 0.25x2 + -0.25x2

Combine like terms: 2.25 + -2.25 = 0.00
-2.25 + i2 + 1.5x + -0.25x2 = 0.00 + -1.5x + 1.5x + 0.25x2 + -0.25x2
-2.25 + i2 + 1.5x + -0.25x2 = -1.5x + 1.5x + 0.25x2 + -0.25x2

Combine like terms: -1.5x + 1.5x = 0.0
-2.25 + i2 + 1.5x + -0.25x2 = 0.0 + 0.25x2 + -0.25x2
-2.25 + i2 + 1.5x + -0.25x2 = 0.25x2 + -0.25x2

Combine like terms: 0.25x2 + -0.25x2 = 0.00
-2.25 + i2 + 1.5x + -0.25x2 = 0.00

The solution to this equation could not be determined.

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