0=325x-7500-x^2

Solution for 0=325x-7500-x^2 equation:

0=325x-7500-x^2

We move all terms to the left:

0-(325x-7500-x^2)=0

We add all the numbers together, and all the variables

-(325x-7500-x^2)=0

We get rid of parentheses

x^2-325x+7500=0

a = 1; b = -325; c = +7500;
Δ = b2-4ac
Δ = -3252-4·1·7500
Δ = 75625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{75625}=275$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-325)-275}{2*1}=\frac{50}{2}
=25
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-325)+275}{2*1}=\frac{600}{2}
=300
$