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

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

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

We move all terms to the left:

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


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

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

x!=1

x∈R



Domain of the equation: x!=0

x∈R


We calculate fractions


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


We calculate terms in parentheses: +(1*(x-1))/(x^2-1x), so:

1*(x-1))/(x^2-1x

We add all the numbers together, and all the variables

-1x+1*(x-1))/(x^2

We multiply all the terms by the denominator


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

Back to the equation:

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


We multiply all the terms by the denominator


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


We calculate terms in parentheses: +((-1x*(x^2+1*(x-1))))*(x^2-1x), so:

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

We add all the numbers together, and all the variables

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

Back to the equation:

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