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

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

Simplifying
z2 + (2 + -4i) * z + -1(y + 2i) = 0

Reorder the terms for easier multiplication:
z2 + z(2 + -4i) + -1(y + 2i) = 0
z2 + (2 * z + -4i * z) + -1(y + 2i) = 0

Reorder the terms:
z2 + (-4iz + 2z) + -1(y + 2i) = 0
z2 + (-4iz + 2z) + -1(y + 2i) = 0

Reorder the terms:
z2 + -4iz + 2z + -1(2i + y) = 0
z2 + -4iz + 2z + (2i * -1 + y * -1) = 0
z2 + -4iz + 2z + (-2i + -1y) = 0

Reorder the terms:
-2i + -4iz + -1y + 2z + z2 = 0

Solving
-2i + -4iz + -1y + 2z + z2 = 0

Solving for variable 'i'.

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

Add 'y' to each side of the equation.
-2i + -4iz + -1y + 2z + y + z2 = 0 + y

Reorder the terms:
-2i + -4iz + -1y + y + 2z + z2 = 0 + y

Combine like terms: -1y + y = 0
-2i + -4iz + 0 + 2z + z2 = 0 + y
-2i + -4iz + 2z + z2 = 0 + y
Remove the zero:
-2i + -4iz + 2z + z2 = y

Add '-2z' to each side of the equation.
-2i + -4iz + 2z + -2z + z2 = y + -2z

Combine like terms: 2z + -2z = 0
-2i + -4iz + 0 + z2 = y + -2z
-2i + -4iz + z2 = y + -2z

Add '-1z2' to each side of the equation.
-2i + -4iz + z2 + -1z2 = y + -2z + -1z2

Combine like terms: z2 + -1z2 = 0
-2i + -4iz + 0 = y + -2z + -1z2
-2i + -4iz = y + -2z + -1z2

Reorder the terms:
-2i + -4iz + -1y + 2z + z2 = y + -1y + -2z + 2z + -1z2 + z2

Combine like terms: y + -1y = 0
-2i + -4iz + -1y + 2z + z2 = 0 + -2z + 2z + -1z2 + z2
-2i + -4iz + -1y + 2z + z2 = -2z + 2z + -1z2 + z2

Combine like terms: -2z + 2z = 0
-2i + -4iz + -1y + 2z + z2 = 0 + -1z2 + z2
-2i + -4iz + -1y + 2z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-2i + -4iz + -1y + 2z + z2 = 0

The solution to this equation could not be determined.