C(x)=0.5x^2-330x+73,109

Solution for C(x)=0.5x^2-330x+73,109 equation:

(C)=0.5C^2-330C+73.109

We move all terms to the left:

(C)-(0.5C^2-330C+73.109)=0

We get rid of parentheses

-0.5C^2+C+330C-73.109=0

We add all the numbers together, and all the variables

-0.5C^2+331C-73.109=0

a = -0.5; b = 331; c = -73.109;
Δ = b2-4ac
Δ = 3312-4·(-0.5)·(-73.109)
Δ = 109414.782
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$C_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$C_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$C_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(331)-\sqrt{109414.782}}{2*-0.5}=\frac{-331-\sqrt{109414.782}}{-1}
$
$C_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(331)+\sqrt{109414.782}}{2*-0.5}=\frac{-331+\sqrt{109414.782}}{-1}
$