Answer
$x=\left\{ -\dfrac{5}{3}, -\dfrac{3}{2} \right\}$
Work Step by Step
Using a graphing software, the graph of the given equation, $
6x^2=-19x-15
,$ 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\{ -\dfrac{5}{3}, -\dfrac{3}{2} \right\}
.$
