16x2-20x-7=0

Solution for 16x2-20x-7=0 equation:

16x^2-20x-7=0

a = 16; b = -20; c = -7;
Δ = b2-4ac
Δ = -202-4·16·(-7)
Δ = 848
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{848}=\sqrt{16*53}=\sqrt{16}*\sqrt{53}=4\sqrt{53}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-4\sqrt{53}}{2*16}=\frac{20-4\sqrt{53}}{32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+4\sqrt{53}}{2*16}=\frac{20+4\sqrt{53}}{32}
$