How to solve this equation with integer solutions?

Question:How to solve this equation with integer solutions?

Posted: toandhsp 300

November 01 2012

I want to solve the equation (1 + 1/x)*(1 + 1/y)*(1 + 1/z)=2 with integer solutions. I tried

isolve((1 + 1/x)*(1 + 1/y)*(1 + 1/z)=2);

and I get {x = -1, y = -2, z = 0}. Is this a bug?

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