60/100*x+180=x

Solution for 60/100*x+180=x equation:

60/100x+180=x

We move all terms to the left:

60/100x+180-(x)=0


Domain of the equation: 100x!=0

x!=0/100

x!=0

x∈R


We add all the numbers together, and all the variables

-1x+60/100x+180=0

We multiply all the terms by the denominator


-1x*100x+180*100x+60=0

Wy multiply elements

-100x^2+18000x+60=0

a = -100; b = 18000; c = +60;
Δ = b2-4ac
Δ = 180002-4·(-100)·60
Δ = 324024000
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:

$\sqrt{\Delta}=\sqrt{324024000}=\sqrt{1600*202515}=\sqrt{1600}*\sqrt{202515}=40\sqrt{202515}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18000)-40\sqrt{202515}}{2*-100}=\frac{-18000-40\sqrt{202515}}{-200}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18000)+40\sqrt{202515}}{2*-100}=\frac{-18000+40\sqrt{202515}}{-200}
$