C(X)=4x^2-200x-6000

Solution for C(X)=4x^2-200x-6000 equation:

(C)=4C^2-200C-6000

We move all terms to the left:

(C)-(4C^2-200C-6000)=0

We get rid of parentheses

-4C^2+C+200C+6000=0

We add all the numbers together, and all the variables

-4C^2+201C+6000=0

a = -4; b = 201; c = +6000;
Δ = b2-4ac
Δ = 2012-4·(-4)·6000
Δ = 136401
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{-(201)-\sqrt{136401}}{2*-4}=\frac{-201-\sqrt{136401}}{-8}
$
$C_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(201)+\sqrt{136401}}{2*-4}=\frac{-201+\sqrt{136401}}{-8}
$