Solve the following equations for $z$, find all solutions :
(1) $2 z^2\ +\ z\ +\ 4\ =\ 0$
Place all answers in the following blank, separated by commas:

(2) $z^2\ -\ (3\ -\ 2i)z\ +\ 1 -\ 3i\ =\ 0$
Place all answers in the following blank,separated by commas:

(3) $z^2\ -\ 2z\ +\ i\ =\ 0$
Place all answers in the following blank, separated by commas: