0=-4.9x^2+19.6x+24.5

Solution for 0=-4.9x^2+19.6x+24.5 equation:

0=-4.9x^2+19.6x+24.5

We move all terms to the left:

0-(-4.9x^2+19.6x+24.5)=0

We add all the numbers together, and all the variables

-(-4.9x^2+19.6x+24.5)=0

We get rid of parentheses

4.9x^2-19.6x-24.5=0

a = 4.9; b = -19.6; c = -24.5;
Δ = b2-4ac
Δ = -19.62-4·4.9·(-24.5)
Δ = 864.36
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{-(-19.6)-\sqrt{864.36}}{2*4.9}=\frac{19.6-\sqrt{864.36}}{9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-19.6)+\sqrt{864.36}}{2*4.9}=\frac{19.6+\sqrt{864.36}}{9.8}
$