13.5=-2.7x^2+50x

Solution for 13.5=-2.7x^2+50x equation:

13.5=-2.7x^2+50x

We move all terms to the left:

13.5-(-2.7x^2+50x)=0

We get rid of parentheses

2.7x^2-50x+13.5=0

a = 2.7; b = -50; c = +13.5;
Δ = b2-4ac
Δ = -502-4·2.7·13.5
Δ = 2354.2
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{2354.2}}{2*2.7}=\frac{50-\sqrt{2354.2}}{5.4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-50)+\sqrt{2354.2}}{2*2.7}=\frac{50+\sqrt{2354.2}}{5.4}
$