2n(50n-1)=0

Solution for 2n(50n-1)=0 equation:

2n(50n-1)=0

We multiply parentheses

100n^2-2n=0

a = 100; b = -2; c = 0;
Δ = b2-4ac
Δ = -22-4·100·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2}{2*100}=\frac{0}{200}
=0
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2}{2*100}=\frac{4}{200}
=1/50
$