1. The problem statement, all variables and given/known data Find all complex solutions to the following equation: [tex]3(x^2 + y^2) + (x - iy)^2 + 2(x + iy) = 0 [/tex] 2. Relevant equations I want to use the quadratic formula, but not sure if it applies here. 3. The attempt at a solution This is as far as I can get. What I would like is some idea as to what technique to solve this.