20n^2-38n-30=0

Solution for 20n^2-38n-30=0 equation:

20n^2-38n-30=0

a = 20; b = -38; c = -30;
Δ = b2-4ac
Δ = -382-4·20·(-30)
Δ = 3844
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3844}=62$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-38)-62}{2*20}=\frac{-24}{40}
=-3/5
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-38)+62}{2*20}=\frac{100}{40}
=2+1/2
$