Solve the following quadratic equations using the quadratic formula: 1) x2 + 3x + 1 = 0 2) x2 − 7x − 2 = 0 3) 2m2 + 10m − 5 = 0

Here, $a=1$, $b=3$, $c=1$.

The solutions are $\boxed{x = \frac{-3 \pm \sqrt{5}}{2}}$.

2) $x^2 - 7x - 2 = 0$

Here, $a=1$, $b=-7$, $c=-2$.

The solutions are $\boxed{x = \frac{7 \pm \sqrt{57}}{2}}$.

3) $2m^2 + 10m - 5 = 0$

Here, $a=2$, $b=10$, $c=-5$.

The solutions are $\boxed{m = \frac{-5 \pm \sqrt{35}}{2}}$.

4) $5q^2 - q - 3 = 0$

Here, $a=5$, $b=-1$, $c=-3$.

The solutions are $\boxed{q = \frac{1 \pm \sqrt{61}}{10}}$.

5) $10x^2 - 4x = 16$

Divide by 2 to simplify:

Now, identify the coefficients: $a=5$, $b=-2$, $c=-8$.

The solutions are $\boxed{x = \frac{1 \pm \sqrt{41}}{5}}$.