2000x-25x^2=11100

Solution for 2000x-25x^2=11100 equation:

2000x-25x^2=11100

We move all terms to the left:

2000x-25x^2-(11100)=0

a = -25; b = 2000; c = -11100;
Δ = b2-4ac
Δ = 20002-4·(-25)·(-11100)
Δ = 2890000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2890000}=1700$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2000)-1700}{2*-25}=\frac{-3700}{-50}
=+74
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2000)+1700}{2*-25}=\frac{-300}{-50}
=+6
$