x^2-(3+i)x+4+3i=0

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Solution for x^2-(3+i)x+4+3i=0 equation: 


Simplifying
x2 + -1(3 + i) * x + 4 + 3i = 0

Reorder the terms for easier multiplication:
x2 + -1x(3 + i) + 4 + 3i = 0
x2 + (3 * -1x + i * -1x) + 4 + 3i = 0

Reorder the terms:
x2 + (-1ix + -3x) + 4 + 3i = 0
x2 + (-1ix + -3x) + 4 + 3i = 0

Reorder the terms:
4 + 3i + -1ix + -3x + x2 = 0

Solving
4 + 3i + -1ix + -3x + x2 = 0

Solving for variable 'i'.

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

Add '-4' to each side of the equation.
4 + 3i + -1ix + -3x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + 3i + -1ix + -3x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3i + -1ix + -3x + x2 = 0 + -4
3i + -1ix + -3x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
3i + -1ix + -3x + x2 = -4

Add '3x' to each side of the equation.
3i + -1ix + -3x + 3x + x2 = -4 + 3x

Combine like terms: -3x + 3x = 0
3i + -1ix + 0 + x2 = -4 + 3x
3i + -1ix + x2 = -4 + 3x

Add '-1x2' to each side of the equation.
3i + -1ix + x2 + -1x2 = -4 + 3x + -1x2

Combine like terms: x2 + -1x2 = 0
3i + -1ix + 0 = -4 + 3x + -1x2
3i + -1ix = -4 + 3x + -1x2

Reorder the terms:
4 + 3i + -1ix + -3x + x2 = -4 + 3x + -1x2 + 4 + -3x + x2

Reorder the terms:
4 + 3i + -1ix + -3x + x2 = -4 + 4 + 3x + -3x + -1x2 + x2

Combine like terms: -4 + 4 = 0
4 + 3i + -1ix + -3x + x2 = 0 + 3x + -3x + -1x2 + x2
4 + 3i + -1ix + -3x + x2 = 3x + -3x + -1x2 + x2

Combine like terms: 3x + -3x = 0
4 + 3i + -1ix + -3x + x2 = 0 + -1x2 + x2
4 + 3i + -1ix + -3x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
4 + 3i + -1ix + -3x + x2 = 0

The solution to this equation could not be determined.

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