P=-200x^2+900x-95,632

Solution for P=-200x^2+900x-95,632 equation:

=-200P^2+900P-95.632

We move all terms to the left:

-(-200P^2+900P-95.632)=0

We get rid of parentheses

200P^2-900P+95.632=0

a = 200; b = -900; c = +95.632;
Δ = b2-4ac
Δ = -9002-4·200·95.632
Δ = 733494.4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$P_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$P_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$P_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-900)-\sqrt{733494.4}}{2*200}=\frac{900-\sqrt{733494.4}}{400}
$
$P_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-900)+\sqrt{733494.4}}{2*200}=\frac{900+\sqrt{733494.4}}{400}
$