x=18/100*X=100

Solution for x=18/100*X=100 equation:

x=18/100x=100

We move all terms to the left:

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

We get rid of parentheses

x-18/100x=0

We multiply all the terms by the denominator


x*100x-18=0

Wy multiply elements

100x^2-18=0

a = 100; b = 0; c = -18;
Δ = b2-4ac
Δ = 02-4·100·(-18)
Δ = 7200
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:

$\sqrt{\Delta}=\sqrt{7200}=\sqrt{3600*2}=\sqrt{3600}*\sqrt{2}=60\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60\sqrt{2}}{2*100}=\frac{0-60\sqrt{2}}{200}
=-\frac{60\sqrt{2}}{200}
=-\frac{3\sqrt{2}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60\sqrt{2}}{2*100}=\frac{0+60\sqrt{2}}{200}
=\frac{60\sqrt{2}}{200}
=\frac{3\sqrt{2}}{10}
$