0.2x^2-19.6x+602.2=622

Solution for 0.2x^2-19.6x+602.2=622 equation:

0.2x^2-19.6x+602.2=622

We move all terms to the left:

0.2x^2-19.6x+602.2-(622)=0

We add all the numbers together, and all the variables

0.2x^2-19.6x-19.8=0

a = 0.2; b = -19.6; c = -19.8;
Δ = b2-4ac
Δ = -19.62-4·0.2·(-19.8)
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-19.6)-20}{2*0.2}=\frac{-0.4}{0.4}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-19.6)+20}{2*0.2}=\frac{39.6}{0.4}
=99
$