l(37-l)=322

Solution for l(37-l)=322 equation:

l(37-l)=322

We move all terms to the left:

l(37-l)-(322)=0

We add all the numbers together, and all the variables

l(-1l+37)-322=0

We multiply parentheses

-1l^2+37l-322=0

a = -1; b = 37; c = -322;
Δ = b2-4ac
Δ = 372-4·(-1)·(-322)
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$l_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$l_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$l_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(37)-9}{2*-1}=\frac{-46}{-2}
=+23
$
$l_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(37)+9}{2*-1}=\frac{-28}{-2}
=+14
$