0=8x-4.905x^2

Solution for 0=8x-4.905x^2 equation:

0=8x-4.905x^2

We move all terms to the left:

0-(8x-4.905x^2)=0

We add all the numbers together, and all the variables

-(8x-4.905x^2)=0

We get rid of parentheses

4.905x^2-8x=0

a = 4.905; b = -8; c = 0;
Δ = b2-4ac
Δ = -82-4·4.905·0
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-8}{2*4.905}=\frac{0}{9.81}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+8}{2*4.905}=\frac{16}{9.81}
=1+1.9404388714734/3.0752351097179
$