#### Answer

$x= -2/3, -1.5$

#### Work Step by Step

$6m^2+13m+6=0$
$x= (-b±\sqrt {b^2-4ac})/2a$
$x= (-13±\sqrt {13^2-4*6*6})/2*6$
$x= (-13±\sqrt {169-144})/12$
$x= (-13±\sqrt {25})/12$
$x= (-13±5)/12$
$x= (-13+5)/12$
$x= -8/12 = -2/3$
$x= (-13-5)/12$
$x= -18/12 = -1.5$