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

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Solution for (x-2+1)(x-2-i)=0 equation: 


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

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

Combine like terms: -2 + 1 = -1
(-1 + x)(x + -2 + -1i) = 0

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

Multiply (-1 + x) * (-2 + -1i + x)
(-1(-2 + -1i + x) + x(-2 + -1i + x)) = 0
((-2 * -1 + -1i * -1 + x * -1) + x(-2 + -1i + x)) = 0
((2 + 1i + -1x) + x(-2 + -1i + x)) = 0
(2 + 1i + -1x + (-2 * x + -1i * x + x * x)) = 0

Reorder the terms:
(2 + 1i + -1x + (-1ix + -2x + x2)) = 0
(2 + 1i + -1x + (-1ix + -2x + x2)) = 0

Reorder the terms:
(2 + 1i + -1ix + -1x + -2x + x2) = 0

Combine like terms: -1x + -2x = -3x
(2 + 1i + -1ix + -3x + x2) = 0

Solving
2 + 1i + -1ix + -3x + x2 = 0

Solving for variable 'i'.

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

Add '-2' to each side of the equation.
2 + 1i + -1ix + -3x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + 1i + -1ix + -3x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 1i + -1ix + -3x + x2 = 0 + -2
1i + -1ix + -3x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
1i + -1ix + -3x + x2 = -2

Add '3x' to each side of the equation.
1i + -1ix + -3x + 3x + x2 = -2 + 3x

Combine like terms: -3x + 3x = 0
1i + -1ix + 0 + x2 = -2 + 3x
1i + -1ix + x2 = -2 + 3x

Add '-1x2' to each side of the equation.
1i + -1ix + x2 + -1x2 = -2 + 3x + -1x2

Combine like terms: x2 + -1x2 = 0
1i + -1ix + 0 = -2 + 3x + -1x2
1i + -1ix = -2 + 3x + -1x2

Reorder the terms:
2 + 1i + -1ix + -3x + x2 = -2 + 3x + -1x2 + 2 + -3x + x2

Reorder the terms:
2 + 1i + -1ix + -3x + x2 = -2 + 2 + 3x + -3x + -1x2 + x2

Combine like terms: -2 + 2 = 0
2 + 1i + -1ix + -3x + x2 = 0 + 3x + -3x + -1x2 + x2
2 + 1i + -1ix + -3x + x2 = 3x + -3x + -1x2 + x2

Combine like terms: 3x + -3x = 0
2 + 1i + -1ix + -3x + x2 = 0 + -1x2 + x2
2 + 1i + -1ix + -3x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
2 + 1i + -1ix + -3x + x2 = 0

The solution to this equation could not be determined.

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