0=-x^2+676x^-57600

Solution for 0=-x^2+676x^-57600 equation:

0=-x^2+676x^-57600

We move all terms to the left:

0-(-x^2+676x^-57600)=0

We add all the numbers together, and all the variables

-(-x^2+676x^-57600)=0

We get rid of parentheses

x^2-676x^+57600=0

We add all the numbers together, and all the variables

x^2-676x+57600=0

a = 1; b = -676; c = +57600;
Δ = b2-4ac
Δ = -6762-4·1·57600
Δ = 226576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{226576}=476$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-676)-476}{2*1}=\frac{200}{2}
=100
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-676)+476}{2*1}=\frac{1152}{2}
=576
$