0=2x^2-320x+11720

Solution for 0=2x^2-320x+11720 equation:

0=2x^2-320x+11720

We move all terms to the left:

0-(2x^2-320x+11720)=0

We add all the numbers together, and all the variables

-(2x^2-320x+11720)=0

We get rid of parentheses

-2x^2+320x-11720=0

a = -2; b = 320; c = -11720;
Δ = b2-4ac
Δ = 3202-4·(-2)·(-11720)
Δ = 8640
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:

$\sqrt{\Delta}=\sqrt{8640}=\sqrt{576*15}=\sqrt{576}*\sqrt{15}=24\sqrt{15}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(320)-24\sqrt{15}}{2*-2}=\frac{-320-24\sqrt{15}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(320)+24\sqrt{15}}{2*-2}=\frac{-320+24\sqrt{15}}{-4}
$