Answer
$$x=\frac{1}{2},\:x=-\frac{1}{4}$$
Work Step by Step
The quadratic formula states:
$$x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$$
Thus, solving the equation, we find:
$$ x_{1,\:2}=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:8\left(-1\right)}}{2\cdot \:8} \\ x=\frac{1}{2},\:x=-\frac{1}{4}$$
