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

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

Simplifying
Z2 + (3 + -2i) * z + 3 = 0

Reorder the terms for easier multiplication:
Z2 + z(3 + -2i) + 3 = 0
Z2 + (3 * z + -2i * z) + 3 = 0

Reorder the terms:
Z2 + (-2iz + 3z) + 3 = 0
Z2 + (-2iz + 3z) + 3 = 0

Reorder the terms:
3 + Z2 + -2iz + 3z = 0

Solving
3 + Z2 + -2iz + 3z = 0

Solving for variable 'Z'.

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

Add '-3' to each side of the equation.
3 + Z2 + -2iz + -3 + 3z = 0 + -3

Reorder the terms:
3 + -3 + Z2 + -2iz + 3z = 0 + -3

Combine like terms: 3 + -3 = 0
0 + Z2 + -2iz + 3z = 0 + -3
Z2 + -2iz + 3z = 0 + -3

Combine like terms: 0 + -3 = -3
Z2 + -2iz + 3z = -3

Add '2iz' to each side of the equation.
Z2 + -2iz + 2iz + 3z = -3 + 2iz

Combine like terms: -2iz + 2iz = 0
Z2 + 0 + 3z = -3 + 2iz
Z2 + 3z = -3 + 2iz

Add '-3z' to each side of the equation.
Z2 + 3z + -3z = -3 + 2iz + -3z

Combine like terms: 3z + -3z = 0
Z2 + 0 = -3 + 2iz + -3z
Z2 = -3 + 2iz + -3z

Simplifying
Z2 = -3 + 2iz + -3z

Reorder the terms:
3 + Z2 + -2iz + 3z = -3 + 2iz + -3z + 3 + -2iz + 3z

Reorder the terms:
3 + Z2 + -2iz + 3z = -3 + 3 + 2iz + -2iz + -3z + 3z

Combine like terms: -3 + 3 = 0
3 + Z2 + -2iz + 3z = 0 + 2iz + -2iz + -3z + 3z
3 + Z2 + -2iz + 3z = 2iz + -2iz + -3z + 3z

Combine like terms: 2iz + -2iz = 0
3 + Z2 + -2iz + 3z = 0 + -3z + 3z
3 + Z2 + -2iz + 3z = -3z + 3z

Combine like terms: -3z + 3z = 0
3 + Z2 + -2iz + 3z = 0

The solution to this equation could not be determined.