Answer
$$x=\frac{-1+\sqrt{6}}{5},\:x=-\frac{1+\sqrt{6}}{5}$$
Work Step by Step
Using the quadratic formula:
$$ x=\frac{-2 \pm \sqrt{2^2-4\cdot \:5\left(-1\right)}}{2\cdot \:5} \\ x=\frac{-1+\sqrt{6}}{5},\:x=-\frac{1+\sqrt{6}}{5}$$
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