z^2+(4+i)*z-6+6i=0

Solution for z^2+(4+i)*z-6+6i=0 equation:

Simplifying
z2 + (4 + i) * z + -6 + 6i = 0

Reorder the terms for easier multiplication:
z2 + z(4 + i) + -6 + 6i = 0
z2 + (4 * z + i * z) + -6 + 6i = 0

Reorder the terms:
z2 + (iz + 4z) + -6 + 6i = 0
z2 + (iz + 4z) + -6 + 6i = 0

Reorder the terms:
-6 + 6i + iz + 4z + z2 = 0

Solving
-6 + 6i + iz + 4z + z2 = 0

Solving for variable 'i'.

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

Add '6' to each side of the equation.
-6 + 6i + iz + 4z + 6 + z2 = 0 + 6

Reorder the terms:
-6 + 6 + 6i + iz + 4z + z2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 6i + iz + 4z + z2 = 0 + 6
6i + iz + 4z + z2 = 0 + 6

Combine like terms: 0 + 6 = 6
6i + iz + 4z + z2 = 6

Add '-4z' to each side of the equation.
6i + iz + 4z + -4z + z2 = 6 + -4z

Combine like terms: 4z + -4z = 0
6i + iz + 0 + z2 = 6 + -4z
6i + iz + z2 = 6 + -4z

Add '-1z2' to each side of the equation.
6i + iz + z2 + -1z2 = 6 + -4z + -1z2

Combine like terms: z2 + -1z2 = 0
6i + iz + 0 = 6 + -4z + -1z2
6i + iz = 6 + -4z + -1z2

Reorder the terms:
-6 + 6i + iz + 4z + z2 = 6 + -4z + -1z2 + -6 + 4z + z2

Reorder the terms:
-6 + 6i + iz + 4z + z2 = 6 + -6 + -4z + 4z + -1z2 + z2

Combine like terms: 6 + -6 = 0
-6 + 6i + iz + 4z + z2 = 0 + -4z + 4z + -1z2 + z2
-6 + 6i + iz + 4z + z2 = -4z + 4z + -1z2 + z2

Combine like terms: -4z + 4z = 0
-6 + 6i + iz + 4z + z2 = 0 + -1z2 + z2
-6 + 6i + iz + 4z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
-6 + 6i + iz + 4z + z2 = 0

The solution to this equation could not be determined.