x(10x-1)=0

Solution for x(10x-1)=0 equation:

x(10x-1)=0

We multiply parentheses

10x^2-1x=0

a = 10; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·10·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*10}=\frac{0}{20}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*10}=\frac{2}{20}
=1/10
$