#### Answer

$4-i$

#### Work Step by Step

Multiply the numerator and denominator by the conjugate of the complex imaginary number.
$\frac{(14+5i)}{(3+2i)}\times\frac{(3-2i)}{(3-2i)}$
Use foil to expand numerator; use the difference of two squares to expand the denominator.
$\frac{42-28i+15i-10i^2}{9-4i^2}$
Remember that $i^2=-1$.
$\frac{42-13i+10}{9+4}$
Combine like terms in both numerator and denominator.
$\frac{52-13i}{13}$
Simplify. Divide both by 13.
$4-i$