-16x^2+80x+1344=0

Solution for -16x^2+80x+1344=0 equation:

-16x^2+80x+1344=0

a = -16; b = 80; c = +1344;
Δ = b2-4ac
Δ = 802-4·(-16)·1344
Δ = 92416
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{92416}=304$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(80)-304}{2*-16}=\frac{-384}{-32}
=+12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(80)+304}{2*-16}=\frac{224}{-32}
=-7
$