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

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

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

We move all terms to the left:

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


Domain of the equation: x!=0

x∈R



Domain of the equation: 2x-1)!=0

x∈R


We get rid of parentheses

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

We calculate fractions


(4x+1)/2x^2+(-3x)/2x^2+1=0

We multiply all the terms by the denominator


(4x+1)+(-3x)+1*2x^2=0

Wy multiply elements

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

We get rid of parentheses

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

We add all the numbers together, and all the variables

2x^2+x+1=0

a = 2; b = 1; c = +1;
Δ = b2-4ac
Δ = 12-4·2·1
Δ = -7
Delta is less than zero, so there is no solution for the equation