X+18/100x+18/100x=8006

Solution for X+18/100x+18/100x=8006 equation:

X+18/100X+18/100X=8006

We move all terms to the left:

X+18/100X+18/100X-(8006)=0


Domain of the equation: 100X!=0

X!=0/100

X!=0

X∈R


We multiply all the terms by the denominator


X*100X-8006*100X+18+18=0

We add all the numbers together, and all the variables

X*100X-8006*100X+36=0

Wy multiply elements

100X^2-800600X+36=0

a = 100; b = -800600; c = +36;
Δ = b2-4ac
Δ = -8006002-4·100·36
Δ = 640960345600
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:

$\sqrt{\Delta}=\sqrt{640960345600}=\sqrt{6400*100150054}=\sqrt{6400}*\sqrt{100150054}=80\sqrt{100150054}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-800600)-80\sqrt{100150054}}{2*100}=\frac{800600-80\sqrt{100150054}}{200}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-800600)+80\sqrt{100150054}}{2*100}=\frac{800600+80\sqrt{100150054}}{200}
$