30n^2-36n+6=0

Solution for 30n^2-36n+6=0 equation:

30n^2-36n+6=0

a = 30; b = -36; c = +6;
Δ = b2-4ac
Δ = -362-4·30·6
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-24}{2*30}=\frac{12}{60}
=1/5
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+24}{2*30}=\frac{60}{60}
=1
$