15n^2-25n=0

Solution for 15n^2-25n=0 equation:

15n^2-25n=0

a = 15; b = -25; c = 0;
Δ = b2-4ac
Δ = -252-4·15·0
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{625}=25$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-25}{2*15}=\frac{0}{30}
=0
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+25}{2*15}=\frac{50}{30}
=1+2/3
$