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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 = b^{2}-4ac

Δ = 37^{2}-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 $

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