x*(x*0.05)=5000

Solution for x*(x*0.05)=5000 equation:

x(x*0.05)=5000

We move all terms to the left:

x(x*0.05)-(5000)=0

We add all the numbers together, and all the variables

x(+x*0.05)-5000=0

We multiply parentheses

0.05x^2-5000=0

a = 0.05; b = 0; c = -5000;
Δ = b2-4ac
Δ = 02-4·0.05·(-5000)
Δ = 1000
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:

$\sqrt{\Delta}=\sqrt{1000}=\sqrt{100*10}=\sqrt{100}*\sqrt{10}=10\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{10}}{2*0.05}=\frac{0-10\sqrt{10}}{0.1}
=-\frac{10\sqrt{10}}{0.1}
=-\frac{\sqrt{10}}{0.01}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{10}}{2*0.05}=\frac{0+10\sqrt{10}}{0.1}
=\frac{10\sqrt{10}}{0.1}
=\frac{\sqrt{10}}{0.01}
$