25n^2+115n-50=0

Solution for 25n^2+115n-50=0 equation:

25n^2+115n-50=0

a = 25; b = 115; c = -50;
Δ = b2-4ac
Δ = 1152-4·25·(-50)
Δ = 18225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{18225}=135$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(115)-135}{2*25}=\frac{-250}{50}
=-5
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(115)+135}{2*25}=\frac{20}{50}
=2/5
$