Answer
$x=\left\{
-1.5, -0.67
\right\}
$
Work Step by Step
Using a graphing software, the graph of the given equation, $
6x^2+13x+6=0
,$ is shown below.
The solutions of the equation are the $x$-values when the graph crosses the $x-$axis. Hence, based on the graph, the solutions are $
x=\left\{
-1.5, -0.67
\right\}
.$