20.06-(18/100)x=x

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

20.06-(18/100)x=x

We move all terms to the left:

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

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

We add all the numbers together, and all the variables

-1x-(+18/100)x+20.06=0

We multiply parentheses

-18x^2-1x+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}
$