1001=50x-0.156x^2

Solution for 1001=50x-0.156x^2 equation:

1001=50x-0.156x^2

We move all terms to the left:

1001-(50x-0.156x^2)=0

We get rid of parentheses

0.156x^2-50x+1001=0

a = 0.156; b = -50; c = +1001;
Δ = b2-4ac
Δ = -502-4·0.156·1001
Δ = 1875.376
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{-(-50)-\sqrt{1875.376}}{2*0.156}=\frac{50-\sqrt{1875.376}}{0.312}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-50)+\sqrt{1875.376}}{2*0.156}=\frac{50+\sqrt{1875.376}}{0.312}
$