22s=-11s^2

Solution for 22s=-11s^2 equation:

22s=-11s^2

We move all terms to the left:

22s-(-11s^2)=0

We get rid of parentheses

11s^2+22s=0

a = 11; b = 22; c = 0;
Δ = b2-4ac
Δ = 222-4·11·0
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{484}=22$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(22)-22}{2*11}=\frac{-44}{22}
=-2
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(22)+22}{2*11}=\frac{0}{22}
=0
$