Answer
$\frac{1082}{221}+\frac{197}{221}i$
Work Step by Step
Rewrite the given expression by multiplying both numerator and xenominator by $-1$, and solve the latter.
\begin{equation}
\frac{-12-73 i}{-5-14 i} = \frac{12+73 i}{5+14 i}.
\end{equation} Multiply both numerator and denominator by the conjugate of the denominator and simplify.
\begin{equation}
\begin{aligned}
\frac{12+73 i}{5+14 i}&=\frac{12+73 i}{5+14 i}\cdot \frac{(5-14 i)}{(5-14 i)}\\
& =\frac{12(5-14 i)+73i(5-14 i)}{25+196}\\
&=\frac{60-168i+365i+1022}{221}\\
&= \frac{1082}{221}+\frac{197}{221} i.
\end{aligned}
\end{equation}
