275x-x2-2000=8350

Solution for 275x-x2-2000=8350 equation:

275x-x2-2000=8350

We move all terms to the left:

275x-x2-2000-(8350)=0

We add all the numbers together, and all the variables

-1x^2+275x-10350=0

a = -1; b = 275; c = -10350;
Δ = b2-4ac
Δ = 2752-4·(-1)·(-10350)
Δ = 34225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{34225}=185$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(275)-185}{2*-1}=\frac{-460}{-2}
=+230
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(275)+185}{2*-1}=\frac{-90}{-2}
=+45
$