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

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

Simplifying
z2 + (4 + 2i) * z + 3 + -3i = 0

Reorder the terms for easier multiplication:
z2 + z(4 + 2i) + 3 + -3i = 0
z2 + (4 * z + 2i * z) + 3 + -3i = 0

Reorder the terms:
z2 + (2iz + 4z) + 3 + -3i = 0
z2 + (2iz + 4z) + 3 + -3i = 0

Reorder the terms:
3 + -3i + 2iz + 4z + z2 = 0

Solving
3 + -3i + 2iz + 4z + z2 = 0

Solving for variable 'i'.

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

Add '-3' to each side of the equation.
3 + -3i + 2iz + 4z + -3 + z2 = 0 + -3

Reorder the terms:
3 + -3 + -3i + 2iz + 4z + z2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -3i + 2iz + 4z + z2 = 0 + -3
-3i + 2iz + 4z + z2 = 0 + -3

Combine like terms: 0 + -3 = -3
-3i + 2iz + 4z + z2 = -3

Add '-4z' to each side of the equation.
-3i + 2iz + 4z + -4z + z2 = -3 + -4z

Combine like terms: 4z + -4z = 0
-3i + 2iz + 0 + z2 = -3 + -4z
-3i + 2iz + z2 = -3 + -4z

Add '-1z2' to each side of the equation.
-3i + 2iz + z2 + -1z2 = -3 + -4z + -1z2

Combine like terms: z2 + -1z2 = 0
-3i + 2iz + 0 = -3 + -4z + -1z2
-3i + 2iz = -3 + -4z + -1z2

Reorder the terms:
3 + -3i + 2iz + 4z + z2 = -3 + -4z + -1z2 + 3 + 4z + z2

Reorder the terms:
3 + -3i + 2iz + 4z + z2 = -3 + 3 + -4z + 4z + -1z2 + z2

Combine like terms: -3 + 3 = 0
3 + -3i + 2iz + 4z + z2 = 0 + -4z + 4z + -1z2 + z2
3 + -3i + 2iz + 4z + z2 = -4z + 4z + -1z2 + z2

Combine like terms: -4z + 4z = 0
3 + -3i + 2iz + 4z + z2 = 0 + -1z2 + z2
3 + -3i + 2iz + 4z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
3 + -3i + 2iz + 4z + z2 = 0

The solution to this equation could not be determined.