X+x(18/100)=59500

Solution for X+x(18/100)=59500 equation:

X+X(18/100)=59500

We move all terms to the left:

X+X(18/100)-(59500)=0

We add all the numbers together, and all the variables

X+X(+18/100)-59500=0

We multiply parentheses

18X^2+X-59500=0

a = 18; b = 1; c = -59500;
Δ = b2-4ac
Δ = 12-4·18·(-59500)
Δ = 4284001
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{4284001}}{2*18}=\frac{-1-\sqrt{4284001}}{36}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{4284001}}{2*18}=\frac{-1+\sqrt{4284001}}{36}
$