X=20/100x

Solution for X=20/100x equation:

X=20/100X

We move all terms to the left:

X-(20/100X)=0


Domain of the equation: 100X)!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

X-(+20/100X)=0

We get rid of parentheses

X-20/100X=0

We multiply all the terms by the denominator


X*100X-20=0

Wy multiply elements

100X^2-20=0

a = 100; b = 0; c = -20;
Δ = b2-4ac
Δ = 02-4·100·(-20)
Δ = 8000
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:

$\sqrt{\Delta}=\sqrt{8000}=\sqrt{1600*5}=\sqrt{1600}*\sqrt{5}=40\sqrt{5}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-40\sqrt{5}}{2*100}=\frac{0-40\sqrt{5}}{200}
=-\frac{40\sqrt{5}}{200}
=-\frac{\sqrt{5}}{5}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+40\sqrt{5}}{2*100}=\frac{0+40\sqrt{5}}{200}
=\frac{40\sqrt{5}}{200}
=\frac{\sqrt{5}}{5}
$