700=x+20/100x

Solution for 700=x+20/100x equation:

700=x+20/100x

We move all terms to the left:

700-(x+20/100x)=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+20/100x)+700=0

We get rid of parentheses

-x-20/100x+700=0

We multiply all the terms by the denominator


-x*100x+700*100x-20=0

Wy multiply elements

-100x^2+70000x-20=0

a = -100; b = 70000; c = -20;
Δ = b2-4ac
Δ = 700002-4·(-100)·(-20)
Δ = 4899992000
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:

$\sqrt{\Delta}=\sqrt{4899992000}=\sqrt{1600*3062495}=\sqrt{1600}*\sqrt{3062495}=40\sqrt{3062495}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(70000)-40\sqrt{3062495}}{2*-100}=\frac{-70000-40\sqrt{3062495}}{-200}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(70000)+40\sqrt{3062495}}{2*-100}=\frac{-70000+40\sqrt{3062495}}{-200}
$