7n^2+37n+36=0

Solution for 7n^2+37n+36=0 equation:

7n^2+37n+36=0

a = 7; b = 37; c = +36;
Δ = b2-4ac
Δ = 372-4·7·36
Δ = 361
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{361}=19$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(37)-19}{2*7}=\frac{-56}{14}
=-4
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(37)+19}{2*7}=\frac{-18}{14}
=-1+2/7
$