3x+1/x=2x-3/x+1=1/x(x+1)

Solution for 3x+1/x=2x-3/x+1=1/x(x+1) equation:

3x+1/x=2x-3/x+1=1/x(x+1)

We move all terms to the left:

3x+1/x-(2x-3/x+1)=0


Domain of the equation: x!=0

x∈R



Domain of the equation: x+1)!=0

x∈R


We get rid of parentheses

3x+1/x-2x+3/x-1=0

We multiply all the terms by the denominator


3x*x-2x*x-1*x+1+3=0

We add all the numbers together, and all the variables

-1x+3x*x-2x*x+4=0

Wy multiply elements

3x^2-2x^2-1x+4=0

We add all the numbers together, and all the variables

x^2-1x+4=0

a = 1; b = -1; c = +4;
Δ = b2-4ac
Δ = -12-4·1·4
Δ = -15
Delta is less than zero, so there is no solution for the equation