z^2-2(3+2i)z+2+8i=0

Solution for z^2-2(3+2i)z+2+8i=0 equation:

Simplifying
z2 + -2(3 + 2i) * z + 2 + 8i = 0

Reorder the terms for easier multiplication:
z2 + -2z(3 + 2i) + 2 + 8i = 0
z2 + (3 * -2z + 2i * -2z) + 2 + 8i = 0

Reorder the terms:
z2 + (-4iz + -6z) + 2 + 8i = 0
z2 + (-4iz + -6z) + 2 + 8i = 0

Reorder the terms:
2 + 8i + -4iz + -6z + z2 = 0

Solving
2 + 8i + -4iz + -6z + z2 = 0

Solving for variable 'i'.

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

Add '-2' to each side of the equation.
2 + 8i + -4iz + -6z + -2 + z2 = 0 + -2

Reorder the terms:
2 + -2 + 8i + -4iz + -6z + z2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 8i + -4iz + -6z + z2 = 0 + -2
8i + -4iz + -6z + z2 = 0 + -2

Combine like terms: 0 + -2 = -2
8i + -4iz + -6z + z2 = -2

Add '6z' to each side of the equation.
8i + -4iz + -6z + 6z + z2 = -2 + 6z

Combine like terms: -6z + 6z = 0
8i + -4iz + 0 + z2 = -2 + 6z
8i + -4iz + z2 = -2 + 6z

Add '-1z2' to each side of the equation.
8i + -4iz + z2 + -1z2 = -2 + 6z + -1z2

Combine like terms: z2 + -1z2 = 0
8i + -4iz + 0 = -2 + 6z + -1z2
8i + -4iz = -2 + 6z + -1z2

Reorder the terms:
2 + 8i + -4iz + -6z + z2 = -2 + 6z + -1z2 + 2 + -6z + z2

Reorder the terms:
2 + 8i + -4iz + -6z + z2 = -2 + 2 + 6z + -6z + -1z2 + z2

Combine like terms: -2 + 2 = 0
2 + 8i + -4iz + -6z + z2 = 0 + 6z + -6z + -1z2 + z2
2 + 8i + -4iz + -6z + z2 = 6z + -6z + -1z2 + z2

Combine like terms: 6z + -6z = 0
2 + 8i + -4iz + -6z + z2 = 0 + -1z2 + z2
2 + 8i + -4iz + -6z + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
2 + 8i + -4iz + -6z + z2 = 0

The solution to this equation could not be determined.