z/z-1=1/z-1+2

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

z/z-1=1/z-1+2

We move all terms to the left:

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


Domain of the equation: z!=0

z∈R



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

We move all terms containing z to the left, all other terms to the right

z+2)!=1

z∈R


We add all the numbers together, and all the variables

z/z-(1/z+1)-1=0

We get rid of parentheses

z/z-1/z-1-1=0

Fractions to decimals

-1/z-1-1+1=0

We multiply all the terms by the denominator


-1*z-1*z+1*z-1=0

We add all the numbers together, and all the variables

-1z-1=0

We move all terms containing z to the left, all other terms to the right

-z=1

z=1/-1

z=-1