x(0.01x-0.02)=0

Solution for x(0.01x-0.02)=0 equation:

x(0.01x-0.02)=0

We multiply parentheses

0x^2-0.02x=0

We add all the numbers together, and all the variables

x^2-0.02x=0

a = 1; b = -0.02; c = 0;
Δ = b2-4ac
Δ = -0.022-4·1·0
Δ = 0.0004
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-0.02)-\sqrt{0.0004}}{2*1}=\frac{0.02-\sqrt{0.0004}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.02)+\sqrt{0.0004}}{2*1}=\frac{0.02+\sqrt{0.0004}}{2}
$