x-(30/100x)=50

Solution for x-(30/100x)=50 equation:

x-(30/100x)=50

We move all terms to the left:

x-(30/100x)-(50)=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-(+30/100x)-50=0

We get rid of parentheses

x-30/100x-50=0

We multiply all the terms by the denominator


x*100x-50*100x-30=0

Wy multiply elements

100x^2-5000x-30=0

a = 100; b = -5000; c = -30;
Δ = b2-4ac
Δ = -50002-4·100·(-30)
Δ = 25012000
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:

$\sqrt{\Delta}=\sqrt{25012000}=\sqrt{67600*370}=\sqrt{67600}*\sqrt{370}=260\sqrt{370}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5000)-260\sqrt{370}}{2*100}=\frac{5000-260\sqrt{370}}{200}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5000)+260\sqrt{370}}{2*100}=\frac{5000+260\sqrt{370}}{200}
$