[tex]\displaystyle\\
\overline{z} \text{ este conjugatul lui }z. \\ \\
3z + 2\overline{z} = 3+2i \\ \\
3(a+bi)+2(a-bi)=3+2i\\\\
3a+3bi + 2a - 2bi = 3+2i\\\\
3a + 2a +3bi -2bi = 3+2i\\\\
5a + bi = 3+2i\\\\
5a = 3 ~~~\Longrightarrow~~~\boxed{a = \frac{3}{5}} \\\\
bi = 2i ~~~\Longrightarrow~~~\boxed{b = 2}\\\\
\text{Solutia este: } ~~~~~ \boxed{\boxed{z = \frac{3}{5} + 2i}}[/tex]
