x+(0.01/x+0.2)=0

Solution for x+(0.01/x+0.2)=0 equation:

x+(0.01/x+0.2)=0


Domain of the equation: x+0.2)!=0

x∈R


We get rid of parentheses

x+0.01/x+0.2=0

We multiply all the terms by the denominator


x*x+(0.2)*x+0.01=0

We multiply parentheses

x*x+0.2x+0.01=0

Wy multiply elements

x^2+0.2x+0.01=0

a = 1; b = 0.2; c = +0.01;
Δ = b2-4ac
Δ = 0.22-4·1·0.01
Δ = 6.9388939039072E-18
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{-(0.2)-\sqrt{6.9388939039072E-18}}{2*1}=\frac{-0.2-\sqrt{6.9388939039072E-18}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.2)+\sqrt{6.9388939039072E-18}}{2*1}=\frac{-0.2+\sqrt{6.9388939039072E-18}}{2}
$