z^2-(2-2i)z+12-18i=0

Solution for z^2-(2-2i)z+12-18i=0 equation:

Simplifying
z2 + -1(2 + -2i) * z + 12 + -18i = 0

Reorder the terms for easier multiplication:
z2 + -1z(2 + -2i) + 12 + -18i = 0
z2 + (2 * -1z + -2i * -1z) + 12 + -18i = 0

Reorder the terms:
z2 + (2iz + -2z) + 12 + -18i = 0
z2 + (2iz + -2z) + 12 + -18i = 0

Reorder the terms:
12 + -18i + 2iz + -2z + z2 = 0

Solving
12 + -18i + 2iz + -2z + z2 = 0

Solving for variable 'i'.

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

Add '-12' to each side of the equation.
12 + -18i + 2iz + -2z + -12 + z2 = 0 + -12

Reorder the terms:
12 + -12 + -18i + 2iz + -2z + z2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -18i + 2iz + -2z + z2 = 0 + -12
-18i + 2iz + -2z + z2 = 0 + -12

Combine like terms: 0 + -12 = -12
-18i + 2iz + -2z + z2 = -12

Add '2z' to each side of the equation.
-18i + 2iz + -2z + 2z + z2 = -12 + 2z

Combine like terms: -2z + 2z = 0
-18i + 2iz + 0 + z2 = -12 + 2z
-18i + 2iz + z2 = -12 + 2z

Add '-1z2' to each side of the equation.
-18i + 2iz + z2 + -1z2 = -12 + 2z + -1z2

Combine like terms: z2 + -1z2 = 0
-18i + 2iz + 0 = -12 + 2z + -1z2
-18i + 2iz = -12 + 2z + -1z2

Reorder the terms:
12 + -18i + 2iz + -2z + z2 = -12 + 2z + -1z2 + 12 + -2z + z2

Reorder the terms:
12 + -18i + 2iz + -2z + z2 = -12 + 12 + 2z + -2z + -1z2 + z2

Combine like terms: -12 + 12 = 0
12 + -18i + 2iz + -2z + z2 = 0 + 2z + -2z + -1z2 + z2
12 + -18i + 2iz + -2z + z2 = 2z + -2z + -1z2 + z2

Combine like terms: 2z + -2z = 0
12 + -18i + 2iz + -2z + z2 = 0 + -1z2 + z2
12 + -18i + 2iz + -2z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
12 + -18i + 2iz + -2z + z2 = 0

The solution to this equation could not be determined.