57600=x^2+12800x

Solution for 57600=x^2+12800x equation:

57600=x^2+12800x

We move all terms to the left:

57600-(x^2+12800x)=0

We get rid of parentheses

-x^2-12800x+57600=0

We add all the numbers together, and all the variables

-1x^2-12800x+57600=0

a = -1; b = -12800; c = +57600;
Δ = b2-4ac
Δ = -128002-4·(-1)·57600
Δ = 164070400
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:

$\sqrt{\Delta}=\sqrt{164070400}=\sqrt{25600*6409}=\sqrt{25600}*\sqrt{6409}=160\sqrt{6409}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12800)-160\sqrt{6409}}{2*-1}=\frac{12800-160\sqrt{6409}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12800)+160\sqrt{6409}}{2*-1}=\frac{12800+160\sqrt{6409}}{-2}
$