50=-0.01x^2+2.7x

Solution for 50=-0.01x^2+2.7x equation:

50=-0.01x^2+2.7x

We move all terms to the left:

50-(-0.01x^2+2.7x)=0

We get rid of parentheses

0.01x^2-2.7x+50=0

a = 0.01; b = -2.7; c = +50;
Δ = b2-4ac
Δ = -2.72-4·0.01·50
Δ = 5.29
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{-(-2.7)-\sqrt{5.29}}{2*0.01}=\frac{2.7-\sqrt{5.29}}{0.02}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2.7)+\sqrt{5.29}}{2*0.01}=\frac{2.7+\sqrt{5.29}}{0.02}
$