Solution
= Solution
Multiply numerator and denominator by the denominator's <complex conjugate>:
$$
\frac{3+2i}{2-3i}=\frac{(3+2i)(2+3i)}{2^2+3^2}
=\frac{6+13i-6}{13}=i.
$$
Thus the <real part> and <imaginary part> are
$$
\boxed{\operatorname{Re}=0,\qquad\operatorname{Im}=1.}
$$