0=44+9.5x-4.9x^2

Solution for 0=44+9.5x-4.9x^2 equation:

0=44+9.5x-4.9x^2

We move all terms to the left:

0-(44+9.5x-4.9x^2)=0

We add all the numbers together, and all the variables

-(44+9.5x-4.9x^2)=0

We get rid of parentheses

4.9x^2-9.5x-44=0

a = 4.9; b = -9.5; c = -44;
Δ = b2-4ac
Δ = -9.52-4·4.9·(-44)
Δ = 952.65
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{-(-9.5)-\sqrt{952.65}}{2*4.9}=\frac{9.5-\sqrt{952.65}}{9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9.5)+\sqrt{952.65}}{2*4.9}=\frac{9.5+\sqrt{952.65}}{9.8}
$