Express $\dfrac{30+19i}{4+9i}$ in the form $a + bi$, where $a$ and $b$ are real numbers.
\($\dfrac{30+19i}{4+9i}$\) multiply top/bottm by 4 - 9i
[ 30 + 19i ] [ 4 - 9i ] / ( 4 + 9i) (4 - 9i) ]
[ 120 + 76i - 270i - 171i^2 ] / [ 16 - 81i^2 ]
[ 120 + 171 - 194i ] / [ 16 + 81 ]
[ 291 - 194i ] / [ 97 ]
(291/ 97) - (194/97) i
3 - 2i
