75/100x+18=x

Solution for 75/100x+18=x equation:

75/100x+18=x

We move all terms to the left:

75/100x+18-(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+75/100x+18=0

We multiply all the terms by the denominator


-1x*100x+18*100x+75=0

Wy multiply elements

-100x^2+1800x+75=0

a = -100; b = 1800; c = +75;
Δ = b2-4ac
Δ = 18002-4·(-100)·75
Δ = 3270000
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:

$\sqrt{\Delta}=\sqrt{3270000}=\sqrt{10000*327}=\sqrt{10000}*\sqrt{327}=100\sqrt{327}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1800)-100\sqrt{327}}{2*-100}=\frac{-1800-100\sqrt{327}}{-200}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1800)+100\sqrt{327}}{2*-100}=\frac{-1800+100\sqrt{327}}{-200}
$