0=x^2-500x+60900

Solution for 0=x^2-500x+60900 equation:

0=x^2-500x+60900

We move all terms to the left:

0-(x^2-500x+60900)=0

We add all the numbers together, and all the variables

-(x^2-500x+60900)=0

We get rid of parentheses

-x^2+500x-60900=0

We add all the numbers together, and all the variables

-1x^2+500x-60900=0

a = -1; b = 500; c = -60900;
Δ = b2-4ac
Δ = 5002-4·(-1)·(-60900)
Δ = 6400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6400}=80$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(500)-80}{2*-1}=\frac{-580}{-2}
=+290
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(500)+80}{2*-1}=\frac{-420}{-2}
=+210
$