Answer
The solutions are $x=-3$ and $x=\dfrac{2}{5}$
Work Step by Step
$5x^{2}=6-13x$
Take all terms to the left side of the equation:
$5x^{2}+13x-6=0$
Solve this equation by factoring:
$(x+3)(5x-2)=0$
Set both factors equal to $0$ and solve each individual equation for $x$:
$x+3=0$
$x=-3$
$5x-2=0$
$5x=2$
$x=\dfrac{2}{5}$
The solutions are $x=-3$ and $x=\dfrac{2}{5}$
