(q^2-1)/(q-1)=q+1

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Solution for (q^2-1)/(q-1)=q+1 equation:



(q^2-1)/(q-1)=q+1
We move all terms to the left:
(q^2-1)/(q-1)-(q+1)=0
Domain of the equation: (q-1)!=0
We move all terms containing q to the left, all other terms to the right
q!=1
q∈R
We get rid of parentheses
(q^2-1)/(q-1)-q-1=0
We multiply all the terms by the denominator
(q^2-1)-q*(q-1)-1*(q-1)=0
We multiply parentheses
-q^2+(q^2-1)+1q-1*(q-1)=0
We get rid of parentheses
-q^2+q^2+1q-1*(q-1)-1=0
We add all the numbers together, and all the variables
q-1*(q-1)-1=0
We move all terms containing q to the left, all other terms to the right
q-1*(q-1)=1

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