Answer
$-0.417+1.08j\ or, \ -0.417-1.08j$
Work Step by Step
For the equation $6x^2 +5x+8 = 0$, we use the quadratic formula as follows
$$
x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a},
\\
a=6, \quad b=5, \quad c=8
.$$
That is,
$$ x=\frac{-5 \pm \sqrt{25-24(8)}}{2(6) }=-0.417+1.08j\ ~ or, \ -0.417-1.08j
.$$
