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

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

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

We move all terms to the left:

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


Domain of the equation: x!=0

x∈R



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R



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

x∈R


We get rid of parentheses

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

We calculate fractions


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

We multiply all the terms by the denominator


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

We add all the numbers together, and all the variables

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

Wy multiply elements

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

We get rid of parentheses

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

We add all the numbers together, and all the variables

2x^2-1x+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