x(1+x/100)=23078.90

Solution for x(1+x/100)=23078.90 equation:

x(1+x/100)=23078.90

We move all terms to the left:

x(1+x/100)-(23078.90)=0

We add all the numbers together, and all the variables

x(x/100+1)-(23078.9)=0

We add all the numbers together, and all the variables

x(x/100+1)-23078.9=0

We multiply parentheses

x^2+x-23078.9=0

a = 1; b = 1; c = -23078.9;
Δ = b2-4ac
Δ = 12-4·1·(-23078.9)
Δ = 92316.6
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{92316.6}}{2*1}=\frac{-1-\sqrt{92316.6}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{92316.6}}{2*1}=\frac{-1+\sqrt{92316.6}}{2}
$