Answer
$\frac{-4\pm\sqrt {31}}{5}$
Work Step by Step
Let $f(x)=0$, we have $5x^2+8x-3=0 \longrightarrow x=\frac{-8\pm\sqrt {64+4(5)(3)}}{2(5)}=\frac{-4\pm\sqrt {31}}{5}$
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