Answer
$=-2.14,\ or, \ 0.94$
Work Step by Step
For the equation $5x^2 +6x-10= 0$, we use the quadratic formula as follows
$$ x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}, \\
a=5, \quad b=6, \quad c=-10.$$
That is,
$$ x=\frac{-6 \pm \sqrt{36+200}}{2(5) }=-2.14,\ or, \ 0.94
.$$