Answer
$1.80,\ or, \ -0.467$
Work Step by Step
For the equation $6x^2 -8x-5=0$, we use the quadratic formula as follows
$$ x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}, \\
a=6, \quad b=-8, \quad c=-5.$$
That is,
$$ x=\frac{8\pm \sqrt{8^2-4(6)(-5)}}{2(6) }=1.80,\ or, \ -0.467
.$$
