(100x)*x=0,1

Solution for (100x)*x=0,1 equation:

(100x)*x=0.1

We move all terms to the left:

(100x)*x-(0.1)=0

We add all the numbers together, and all the variables

100x*x-0.1=0

Wy multiply elements

100x^2-0.1=0

a = 100; b = 0; c = -0.1;
Δ = b2-4ac
Δ = 02-4·100·(-0.1)
Δ = 40
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{40}=\sqrt{4*10}=\sqrt{4}*\sqrt{10}=2\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{10}}{2*100}=\frac{0-2\sqrt{10}}{200}
=-\frac{2\sqrt{10}}{200}
=-\frac{\sqrt{10}}{100}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{10}}{2*100}=\frac{0+2\sqrt{10}}{200}
=\frac{2\sqrt{10}}{200}
=\frac{\sqrt{10}}{100}
$