z^2+(6+2i)z-1+5i=0

Solution for z^2+(6+2i)z-1+5i=0 equation:

Simplifying
z2 + (6 + 2i) * z + -1 + 5i = 0

Reorder the terms for easier multiplication:
z2 + z(6 + 2i) + -1 + 5i = 0
z2 + (6 * z + 2i * z) + -1 + 5i = 0

Reorder the terms:
z2 + (2iz + 6z) + -1 + 5i = 0
z2 + (2iz + 6z) + -1 + 5i = 0

Reorder the terms:
-1 + 5i + 2iz + 6z + z2 = 0

Solving
-1 + 5i + 2iz + 6z + z2 = 0

Solving for variable 'i'.

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

Add '1' to each side of the equation.
-1 + 5i + 2iz + 6z + 1 + z2 = 0 + 1

Reorder the terms:
-1 + 1 + 5i + 2iz + 6z + z2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5i + 2iz + 6z + z2 = 0 + 1
5i + 2iz + 6z + z2 = 0 + 1

Combine like terms: 0 + 1 = 1
5i + 2iz + 6z + z2 = 1

Add '-6z' to each side of the equation.
5i + 2iz + 6z + -6z + z2 = 1 + -6z

Combine like terms: 6z + -6z = 0
5i + 2iz + 0 + z2 = 1 + -6z
5i + 2iz + z2 = 1 + -6z

Add '-1z2' to each side of the equation.
5i + 2iz + z2 + -1z2 = 1 + -6z + -1z2

Combine like terms: z2 + -1z2 = 0
5i + 2iz + 0 = 1 + -6z + -1z2
5i + 2iz = 1 + -6z + -1z2

Reorder the terms:
-1 + 5i + 2iz + 6z + z2 = 1 + -6z + -1z2 + -1 + 6z + z2

Reorder the terms:
-1 + 5i + 2iz + 6z + z2 = 1 + -1 + -6z + 6z + -1z2 + z2

Combine like terms: 1 + -1 = 0
-1 + 5i + 2iz + 6z + z2 = 0 + -6z + 6z + -1z2 + z2
-1 + 5i + 2iz + 6z + z2 = -6z + 6z + -1z2 + z2

Combine like terms: -6z + 6z = 0
-1 + 5i + 2iz + 6z + z2 = 0 + -1z2 + z2
-1 + 5i + 2iz + 6z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-1 + 5i + 2iz + 6z + z2 = 0

The solution to this equation could not be determined.