8m^2-20m-8=0

Solution for 8m^2-20m-8=0 equation:

8m^2-20m-8=0

a = 8; b = -20; c = -8;
Δ = b2-4ac
Δ = -202-4·8·(-8)
Δ = 656
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{656}=\sqrt{16*41}=\sqrt{16}*\sqrt{41}=4\sqrt{41}$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-4\sqrt{41}}{2*8}=\frac{20-4\sqrt{41}}{16}
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+4\sqrt{41}}{2*8}=\frac{20+4\sqrt{41}}{16}
$