Answer
$-1, \ or, \ \frac{5}{3}\approx 1.667$
Work Step by Step
For the equation $-3x^2 +2x+5 = 0$, we use the quadratic formula as follows
$$
x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a},
\\
a=-3, \quad b=2, \quad c=5
.$$
That is, $$ x=\frac{-2\pm \sqrt{4+60}}{2(-3) }=-1, \ or, \ \frac{5}{3}\approx1.667
.$$
