X=40000x-50x^2

Solution for X=40000x-50x^2 equation:

X=40000X-50X^2

We move all terms to the left:

X-(40000X-50X^2)=0

We get rid of parentheses

50X^2-40000X+X=0

We add all the numbers together, and all the variables

50X^2-39999X=0

a = 50; b = -39999; c = 0;
Δ = b2-4ac
Δ = -399992-4·50·0
Δ = 1599920001
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1599920001}=39999$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-39999)-39999}{2*50}=\frac{0}{100}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-39999)+39999}{2*50}=\frac{79998}{100}
=799+49/50
$