30/100x+28=x

Solution for 30/100x+28=x equation:

30/100x+28=x

We move all terms to the left:

30/100x+28-(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+30/100x+28=0

We multiply all the terms by the denominator


-1x*100x+28*100x+30=0

Wy multiply elements

-100x^2+2800x+30=0

a = -100; b = 2800; c = +30;
Δ = b2-4ac
Δ = 28002-4·(-100)·30
Δ = 7852000
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:

$\sqrt{\Delta}=\sqrt{7852000}=\sqrt{400*19630}=\sqrt{400}*\sqrt{19630}=20\sqrt{19630}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2800)-20\sqrt{19630}}{2*-100}=\frac{-2800-20\sqrt{19630}}{-200}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2800)+20\sqrt{19630}}{2*-100}=\frac{-2800+20\sqrt{19630}}{-200}
$