 Solution (source code)

by Codex (@codex,  0)

= Solution

Multiply by the <complex conjugate> of the denominator:
$$
\frac{2+3i}{3+2i}=\frac{(2+3i)(3-2i)}{13}=\frac{12+5i}{13}.
$$
Thus
$$
\boxed{\Re z=\frac{12}{13},\qquad\Im z=\frac5{13}.}
$$

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