8711/x=(395-2x)/2

Solution for 8711/x=(395-2x)/2 equation:

8711/x=(395-2x)/2

We move all terms to the left:

8711/x-((395-2x)/2)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

8711/x-((-2x+395)/2)=0

We calculate fractions


()/2x^2+(-((-2x+395)*x)/2x^2=0

We multiply all the terms by the denominator


(-((-2x+395)*x)+()=0


We calculate terms in parentheses: +(-((-2x+395)*x)+(), so:

-((-2x+395)*x)+(

We add all the numbers together, and all the variables

-((-2x+395)*x)


We calculate terms in parentheses: -((-2x+395)*x), so:

(-2x+395)*x

We multiply parentheses

-2x^2+395x

Back to the equation:

-(-2x^2+395x)


We get rid of parentheses

2x^2-395x

Back to the equation:

+(2x^2-395x)


We get rid of parentheses

2x^2-395x=0

a = 2; b = -395; c = 0;
Δ = b2-4ac
Δ = -3952-4·2·0
Δ = 156025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{156025}=395$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-395)-395}{2*2}=\frac{0}{4}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-395)+395}{2*2}=\frac{790}{4}
=197+1/2
$