-6n^2+22=-11n

Solution for -6n^2+22=-11n equation:

-6n^2+22=-11n

We move all terms to the left:

-6n^2+22-(-11n)=0

We get rid of parentheses

-6n^2+11n+22=0

a = -6; b = 11; c = +22;
Δ = b2-4ac
Δ = 112-4·(-6)·22
Δ = 649
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-\sqrt{649}}{2*-6}=\frac{-11-\sqrt{649}}{-12}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+\sqrt{649}}{2*-6}=\frac{-11+\sqrt{649}}{-12}
$