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

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


Simplifying
y2 + -1(3 + 2i) * y + (4 + -1i) = 0

Reorder the terms for easier multiplication:
y2 + -1y(3 + 2i) + (4 + -1i) = 0
y2 + (3 * -1y + 2i * -1y) + (4 + -1i) = 0

Reorder the terms:
y2 + (-2iy + -3y) + (4 + -1i) = 0
y2 + (-2iy + -3y) + (4 + -1i) = 0

Remove parenthesis around (4 + -1i)
y2 + -2iy + -3y + 4 + -1i = 0

Reorder the terms:
4 + -1i + -2iy + -3y + y2 = 0

Solving
4 + -1i + -2iy + -3y + y2 = 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 + -1i + -2iy + -3y + -4 + y2 = 0 + -4

Reorder the terms:
4 + -4 + -1i + -2iy + -3y + y2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1i + -2iy + -3y + y2 = 0 + -4
-1i + -2iy + -3y + y2 = 0 + -4

Combine like terms: 0 + -4 = -4
-1i + -2iy + -3y + y2 = -4

Add '3y' to each side of the equation.
-1i + -2iy + -3y + 3y + y2 = -4 + 3y

Combine like terms: -3y + 3y = 0
-1i + -2iy + 0 + y2 = -4 + 3y
-1i + -2iy + y2 = -4 + 3y

Add '-1y2' to each side of the equation.
-1i + -2iy + y2 + -1y2 = -4 + 3y + -1y2

Combine like terms: y2 + -1y2 = 0
-1i + -2iy + 0 = -4 + 3y + -1y2
-1i + -2iy = -4 + 3y + -1y2

Reorder the terms:
4 + -1i + -2iy + -3y + y2 = -4 + 3y + -1y2 + 4 + -3y + y2

Reorder the terms:
4 + -1i + -2iy + -3y + y2 = -4 + 4 + 3y + -3y + -1y2 + y2

Combine like terms: -4 + 4 = 0
4 + -1i + -2iy + -3y + y2 = 0 + 3y + -3y + -1y2 + y2
4 + -1i + -2iy + -3y + y2 = 3y + -3y + -1y2 + y2

Combine like terms: 3y + -3y = 0
4 + -1i + -2iy + -3y + y2 = 0 + -1y2 + y2
4 + -1i + -2iy + -3y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
4 + -1i + -2iy + -3y + y2 = 0

The solution to this equation could not be determined.

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