0=385x-12250-x^2

Solution for 0=385x-12250-x^2 equation:

0=385x-12250-x^2

We move all terms to the left:

0-(385x-12250-x^2)=0

We add all the numbers together, and all the variables

-(385x-12250-x^2)=0

We get rid of parentheses

x^2-385x+12250=0

a = 1; b = -385; c = +12250;
Δ = b2-4ac
Δ = -3852-4·1·12250
Δ = 99225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{99225}=315$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-385)-315}{2*1}=\frac{70}{2}
=35
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-385)+315}{2*1}=\frac{700}{2}
=350
$