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

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


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

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

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

Multiply [-2 + -1i + x] * [-2 + 1i + x]
0 = [-2[-2 + 1i + x] + -1i * [-2 + 1i + x] + x[-2 + 1i + x]]
0 = [[-2 * -2 + 1i * -2 + x * -2] + -1i * [-2 + 1i + x] + x[-2 + 1i + x]]
0 = [[4 + -2i + -2x] + -1i * [-2 + 1i + x] + x[-2 + 1i + x]]
0 = [4 + -2i + -2x + [-2 * -1i + 1i * -1i + x * -1i] + x[-2 + 1i + x]]

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

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

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

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

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

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

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

Solving for variable 'i'.

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

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

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

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

Simplifying
i2 = 4 + -4x + x2

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

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

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

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

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

The solution to this equation could not be determined.

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