(X+2-i)(x-2-i)=0

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Solution for (X+2-i)(x-2-i)=0 equation: 


Simplifying
(X + 2 + -1i)(x + -2 + -1i) = 0

Reorder the terms:
(2 + X + -1i)(x + -2 + -1i) = 0

Reorder the terms:
(2 + X + -1i)(-2 + -1i + x) = 0

Multiply (2 + X + -1i) * (-2 + -1i + x)
(2(-2 + -1i + x) + X(-2 + -1i + x) + -1i * (-2 + -1i + x)) = 0
((-2 * 2 + -1i * 2 + x * 2) + X(-2 + -1i + x) + -1i * (-2 + -1i + x)) = 0
((-4 + -2i + 2x) + X(-2 + -1i + x) + -1i * (-2 + -1i + x)) = 0
(-4 + -2i + 2x + (-2 * X + -1i * X + x * X) + -1i * (-2 + -1i + x)) = 0
(-4 + -2i + 2x + (-2X + -1iX + xX) + -1i * (-2 + -1i + x)) = 0
(-4 + -2i + 2x + -2X + -1iX + xX + (-2 * -1i + -1i * -1i + x * -1i)) = 0

Reorder the terms:
(-4 + -2i + 2x + -2X + -1iX + xX + (2i + -1ix + 1i2)) = 0
(-4 + -2i + 2x + -2X + -1iX + xX + (2i + -1ix + 1i2)) = 0

Reorder the terms:
(-4 + -2X + -2i + 2i + -1iX + -1ix + 1i2 + 2x + xX) = 0

Combine like terms: -2i + 2i = 0
(-4 + -2X + 0 + -1iX + -1ix + 1i2 + 2x + xX) = 0
(-4 + -2X + -1iX + -1ix + 1i2 + 2x + xX) = 0

Solving
-4 + -2X + -1iX + -1ix + 1i2 + 2x + xX = 0

Solving for variable 'X'.

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

Add '4' to each side of the equation.
-4 + -2X + -1iX + -1ix + 1i2 + 2x + 4 + xX = 0 + 4

Reorder the terms:
-4 + 4 + -2X + -1iX + -1ix + 1i2 + 2x + xX = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -2X + -1iX + -1ix + 1i2 + 2x + xX = 0 + 4
-2X + -1iX + -1ix + 1i2 + 2x + xX = 0 + 4

Combine like terms: 0 + 4 = 4
-2X + -1iX + -1ix + 1i2 + 2x + xX = 4

Add 'ix' to each side of the equation.
-2X + -1iX + -1ix + 1i2 + 2x + ix + xX = 4 + ix

Reorder the terms:
-2X + -1iX + -1ix + ix + 1i2 + 2x + xX = 4 + ix

Combine like terms: -1ix + ix = 0
-2X + -1iX + 0 + 1i2 + 2x + xX = 4 + ix
-2X + -1iX + 1i2 + 2x + xX = 4 + ix

Add '-1i2' to each side of the equation.
-2X + -1iX + 1i2 + 2x + -1i2 + xX = 4 + ix + -1i2

Reorder the terms:
-2X + -1iX + 1i2 + -1i2 + 2x + xX = 4 + ix + -1i2

Combine like terms: 1i2 + -1i2 = 0
-2X + -1iX + 0 + 2x + xX = 4 + ix + -1i2
-2X + -1iX + 2x + xX = 4 + ix + -1i2

Add '-2x' to each side of the equation.
-2X + -1iX + 2x + -2x + xX = 4 + ix + -1i2 + -2x

Combine like terms: 2x + -2x = 0
-2X + -1iX + 0 + xX = 4 + ix + -1i2 + -2x
-2X + -1iX + xX = 4 + ix + -1i2 + -2x

Reorder the terms:
-4 + -2X + -1iX + -1ix + i2 + 2x + xX = 4 + ix + -1i2 + -2x + -4 + -1ix + i2 + 2x

Reorder the terms:
-4 + -2X + -1iX + -1ix + i2 + 2x + xX = 4 + -4 + ix + -1ix + -1i2 + i2 + -2x + 2x

Combine like terms: 4 + -4 = 0
-4 + -2X + -1iX + -1ix + i2 + 2x + xX = 0 + ix + -1ix + -1i2 + i2 + -2x + 2x
-4 + -2X + -1iX + -1ix + i2 + 2x + xX = ix + -1ix + -1i2 + i2 + -2x + 2x

Combine like terms: ix + -1ix = 0
-4 + -2X + -1iX + -1ix + i2 + 2x + xX = 0 + -1i2 + i2 + -2x + 2x
-4 + -2X + -1iX + -1ix + i2 + 2x + xX = -1i2 + i2 + -2x + 2x

Combine like terms: -1i2 + i2 = 0
-4 + -2X + -1iX + -1ix + i2 + 2x + xX = 0 + -2x + 2x
-4 + -2X + -1iX + -1ix + i2 + 2x + xX = -2x + 2x

Combine like terms: -2x + 2x = 0
-4 + -2X + -1iX + -1ix + i2 + 2x + xX = 0

The solution to this equation could not be determined.

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