5n^2-25n-30=0

Solution for 5n^2-25n-30=0 equation:

5n^2-25n-30=0

a = 5; b = -25; c = -30;
Δ = b2-4ac
Δ = -252-4·5·(-30)
Δ = 1225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1225}=35$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-35}{2*5}=\frac{-10}{10}
=-1
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+35}{2*5}=\frac{60}{10}
=6
$