x^2+9.82x=-3.2

Solution for x^2+9.82x=-3.2 equation:

x^2+9.82x=-3.2

We move all terms to the left:

x^2+9.82x-(-3.2)=0

We add all the numbers together, and all the variables

x^2+9.82x+3.2=0

a = 1; b = 9.82; c = +3.2;
Δ = b2-4ac
Δ = 9.822-4·1·3.2
Δ = 83.6324
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{-(9.82)-\sqrt{83.6324}}{2*1}=\frac{-9.82-\sqrt{83.6324}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9.82)+\sqrt{83.6324}}{2*1}=\frac{-9.82+\sqrt{83.6324}}{2}
$