-14x^2+1120x-16800=0

Solution for -14x^2+1120x-16800=0 equation:

-14x^2+1120x-16800=0

a = -14; b = 1120; c = -16800;
Δ = b2-4ac
Δ = 11202-4·(-14)·(-16800)
Δ = 313600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{313600}=560$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1120)-560}{2*-14}=\frac{-1680}{-28}
=+60
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1120)+560}{2*-14}=\frac{-560}{-28}
=+20
$