x+x(1/5)=5000

Solution for x+x(1/5)=5000 equation:

x+x(1/5)=5000

We move all terms to the left:

x+x(1/5)-(5000)=0

We add all the numbers together, and all the variables

x+x(+1/5)-5000=0

We multiply parentheses

x^2+x-5000=0

a = 1; b = 1; c = -5000;
Δ = b2-4ac
Δ = 12-4·1·(-5000)
Δ = 20001
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{-(1)-\sqrt{20001}}{2*1}=\frac{-1-\sqrt{20001}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{20001}}{2*1}=\frac{-1+\sqrt{20001}}{2}
$