# How do you divide (-3-7i)/(7+10i)?

Oct 3, 2016

The value of this expression is: $- \frac{51}{149} - \frac{19}{149} i$
$\frac{- 3 - 7 i}{7 + 10 i} \times \textcolor{red}{\frac{7 - 10 i}{7 - 10 i}} = \frac{- 51 - 19 i}{49 + 100} = \frac{- 51 - 19 i}{149} =$
$- \frac{51}{149} - \frac{19}{149} i$