x^2-(2-i)x+3+i=0

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Solution for x^2-(2-i)x+3+i=0 equation: 


Simplifying
x2 + -1(2 + -1i) * x + 3 + i = 0

Reorder the terms for easier multiplication:
x2 + -1x(2 + -1i) + 3 + i = 0
x2 + (2 * -1x + -1i * -1x) + 3 + i = 0

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

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

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

Solving for variable 'i'.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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