z^2-(3+i)z+m+2i=0

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

Simplifying
z2 + -1(3 + i) * z + m + 2i = 0

Reorder the terms for easier multiplication:
z2 + -1z(3 + i) + m + 2i = 0
z2 + (3 * -1z + i * -1z) + m + 2i = 0

Reorder the terms:
z2 + (-1iz + -3z) + m + 2i = 0
z2 + (-1iz + -3z) + m + 2i = 0

Reorder the terms:
2i + -1iz + m + -3z + z2 = 0

Solving
2i + -1iz + m + -3z + z2 = 0

Solving for variable 'i'.

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

Add '-1m' to each side of the equation.
2i + -1iz + m + -3z + -1m + z2 = 0 + -1m

Reorder the terms:
2i + -1iz + m + -1m + -3z + z2 = 0 + -1m

Combine like terms: m + -1m = 0
2i + -1iz + 0 + -3z + z2 = 0 + -1m
2i + -1iz + -3z + z2 = 0 + -1m
Remove the zero:
2i + -1iz + -3z + z2 = -1m

Add '3z' to each side of the equation.
2i + -1iz + -3z + 3z + z2 = -1m + 3z

Combine like terms: -3z + 3z = 0
2i + -1iz + 0 + z2 = -1m + 3z
2i + -1iz + z2 = -1m + 3z

Add '-1z2' to each side of the equation.
2i + -1iz + z2 + -1z2 = -1m + 3z + -1z2

Combine like terms: z2 + -1z2 = 0
2i + -1iz + 0 = -1m + 3z + -1z2
2i + -1iz = -1m + 3z + -1z2

Reorder the terms:
2i + -1iz + m + -3z + z2 = -1m + m + 3z + -3z + -1z2 + z2

Combine like terms: -1m + m = 0
2i + -1iz + m + -3z + z2 = 0 + 3z + -3z + -1z2 + z2
2i + -1iz + m + -3z + z2 = 3z + -3z + -1z2 + z2

Combine like terms: 3z + -3z = 0
2i + -1iz + m + -3z + z2 = 0 + -1z2 + z2
2i + -1iz + m + -3z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
2i + -1iz + m + -3z + z2 = 0

The solution to this equation could not be determined.