2x+5/x=4/x+2

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Solution for 2x+5/x=4/x+2 equation: 



2x+5/x=4/x+2

We move all terms to the left:

2x+5/x-(4/x+2)=0



Domain of the equation: x!=0

x∈R





Domain of the equation: x+2)!=0

x∈R



We get rid of parentheses

2x+5/x-4/x-2=0

We multiply all the terms by the denominator


2x*x-2*x+5-4=0

We add all the numbers together, and all the variables

-2x+2x*x+1=0

Wy multiply elements

2x^2-2x+1=0

a = 2; b = -2; c = +1;
Δ = b2-4ac
Δ = -22-4·2·1
Δ = -4
Delta is less than zero, so there is no solution for the equation

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