Answer
$$x=-2.200,-.290$$
Work Step by Step
Using the quadratic formula, we obtain:
$$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$$
$$x=\frac{-.31.55\pm \sqrt{(31.55)^2-4(12.67)(8.09)}}{2(12.67)}$$
$$x=-2.200,-.290$$
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