x^2-(3+i)x+(6i+2)=0

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Solution for x^2-(3+i)x+(6i+2)=0 equation: 


Simplifying
x2 + -1(3 + i) * x + (6i + 2) = 0

Reorder the terms for easier multiplication:
x2 + -1x(3 + i) + (6i + 2) = 0
x2 + (3 * -1x + i * -1x) + (6i + 2) = 0

Reorder the terms:
x2 + (-1ix + -3x) + (6i + 2) = 0
x2 + (-1ix + -3x) + (6i + 2) = 0

Reorder the terms:
x2 + -1ix + -3x + (2 + 6i) = 0

Remove parenthesis around (2 + 6i)
x2 + -1ix + -3x + 2 + 6i = 0

Reorder the terms:
2 + 6i + -1ix + -3x + x2 = 0

Solving
2 + 6i + -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 + 6i + -1ix + -3x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + 6i + -1ix + -3x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 6i + -1ix + -3x + x2 = 0 + -2
6i + -1ix + -3x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
6i + -1ix + -3x + x2 = -2

Add '3x' to each side of the equation.
6i + -1ix + -3x + 3x + x2 = -2 + 3x

Combine like terms: -3x + 3x = 0
6i + -1ix + 0 + x2 = -2 + 3x
6i + -1ix + x2 = -2 + 3x

Add '-1x2' to each side of the equation.
6i + -1ix + x2 + -1x2 = -2 + 3x + -1x2

Combine like terms: x2 + -1x2 = 0
6i + -1ix + 0 = -2 + 3x + -1x2
6i + -1ix = -2 + 3x + -1x2

Reorder the terms:
2 + 6i + -1ix + -3x + x2 = -2 + 3x + -1x2 + 2 + -3x + x2

Reorder the terms:
2 + 6i + -1ix + -3x + x2 = -2 + 2 + 3x + -3x + -1x2 + x2

Combine like terms: -2 + 2 = 0
2 + 6i + -1ix + -3x + x2 = 0 + 3x + -3x + -1x2 + x2
2 + 6i + -1ix + -3x + x2 = 3x + -3x + -1x2 + x2

Combine like terms: 3x + -3x = 0
2 + 6i + -1ix + -3x + x2 = 0 + -1x2 + x2
2 + 6i + -1ix + -3x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
2 + 6i + -1ix + -3x + x2 = 0

The solution to this equation could not be determined.

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