x+(18/100)x=20.06

Solution for x+(18/100)x=20.06 equation:

x+(18/100)x=20.06

We move all terms to the left:

x+(18/100)x-(20.06)=0


Domain of the equation: 100)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

x+(+18/100)x-(20.06)=0

We add all the numbers together, and all the variables

x+(+18/100)x-20.06=0

We multiply parentheses

18x^2+x-20.06=0

a = 18; b = 1; c = -20.06;
Δ = b2-4ac
Δ = 12-4·18·(-20.06)
Δ = 1445.32
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{1445.32}}{2*18}=\frac{-1-\sqrt{1445.32}}{36}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{1445.32}}{2*18}=\frac{-1+\sqrt{1445.32}}{36}
$