#### Answer

$z=-\displaystyle \frac{5}{6}$ or $z=\displaystyle \frac{9}{2}$

#### Work Step by Step

We solve by factoring:
$12z^{2}-44z=45$
$12z^{2}-44z-45=0$
$(6z+5)(2z-9)=0$
$6z+5=0$ or $2z-9=0$
So we have: $z=-\displaystyle \frac{5}{6}$ or $z=\displaystyle \frac{9}{2}$