-14x^2-820x+14224=0

Solution for -14x^2-820x+14224=0 equation:

-14x^2-820x+14224=0

a = -14; b = -820; c = +14224;
Δ = b2-4ac
Δ = -8202-4·(-14)·14224
Δ = 1468944
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1468944}=1212$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-820)-1212}{2*-14}=\frac{-392}{-28}
=+14
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-820)+1212}{2*-14}=\frac{2032}{-28}
=-72+4/7
$