Help with Diophantine equation "(xy + yz + zx) / (x + y + z)=4" ?

[hvp001hvp]

Find positive interger solutions (x,y,z) that satify the following equation: (xy+yz+zx)/(x+y+z)=4.
Thanks for help.

 

[Deleted member 4993]

Find positive interger solutions (x,y,z) that satify the following equation: (xy+yz+zx)/(x+y+z)=4.
Thanks for help.

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