l(37-l)=330

Solution for l(37-l)=330 equation:

l(37-l)=330

We move all terms to the left:

l(37-l)-(330)=0

We add all the numbers together, and all the variables

l(-1l+37)-330=0

We multiply parentheses

-1l^2+37l-330=0

a = -1; b = 37; c = -330;
Δ = b2-4ac
Δ = 372-4·(-1)·(-330)
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$l_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$l_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$l_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(37)-7}{2*-1}=\frac{-44}{-2}
=+22
$
$l_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(37)+7}{2*-1}=\frac{-30}{-2}
=+15
$