10n^2-60n=0

Solution for 10n^2-60n=0 equation:

10n^2-60n=0

a = 10; b = -60; c = 0;
Δ = b2-4ac
Δ = -602-4·10·0
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-60}{2*10}=\frac{0}{20}
=0
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+60}{2*10}=\frac{120}{20}
=6
$