36n2-108n-40=0

Solution for 36n2-108n-40=0 equation:

36n^2-108n-40=0

a = 36; b = -108; c = -40;
Δ = b2-4ac
Δ = -1082-4·36·(-40)
Δ = 17424
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{17424}=132$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-108)-132}{2*36}=\frac{-24}{72}
=-1/3
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-108)+132}{2*36}=\frac{240}{72}
=3+1/3
$