0=-200x^2+1600x-2320

Solution for 0=-200x^2+1600x-2320 equation:

0=-200x^2+1600x-2320

We move all terms to the left:

0-(-200x^2+1600x-2320)=0

We add all the numbers together, and all the variables

-(-200x^2+1600x-2320)=0

We get rid of parentheses

200x^2-1600x+2320=0

a = 200; b = -1600; c = +2320;
Δ = b2-4ac
Δ = -16002-4·200·2320
Δ = 704000
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:

$\sqrt{\Delta}=\sqrt{704000}=\sqrt{6400*110}=\sqrt{6400}*\sqrt{110}=80\sqrt{110}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1600)-80\sqrt{110}}{2*200}=\frac{1600-80\sqrt{110}}{400}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1600)+80\sqrt{110}}{2*200}=\frac{1600+80\sqrt{110}}{400}
$