300x-x2=22485.0025

Solution for 300x-x2=22485.0025 equation:

300x-x2=22485.0025

We move all terms to the left:

300x-x2-(22485.0025)=0

We add all the numbers together, and all the variables

-1x^2+300x-22485.0025=0

a = -1; b = 300; c = -22485.0025;
Δ = b2-4ac
Δ = 3002-4·(-1)·(-22485.0025)
Δ = 59.990000000005
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(300)-\sqrt{59.990000000005}}{2*-1}=\frac{-300-\sqrt{59.990000000005}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(300)+\sqrt{59.990000000005}}{2*-1}=\frac{-300+\sqrt{59.990000000005}}{-2}
$