Answer
$\dfrac{15+10i}{13}$
Work Step by Step
Multiplying by the conjugate of the denominator, the expression $
\dfrac{5}{3-2i}
$ simplifies to
\begin{array}{l}
\dfrac{5}{3-2i}
\cdot
\dfrac{3+2i}{3+2i}
\\\\=
\dfrac{15+10i}{9-4i^2}
\\\\=
\dfrac{15+10i}{9-4(-1)}
\\\\=
\dfrac{15+10i}{13}
.\end{array}