Algebraic Simplification of 3^{x^2-x-z}+3^{y^2-y-x}+3^{z^2-z-y}=1

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3^{x^2-x-z}+3^{y^2-y-x}+3^{z^2-z-y}=1
 
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solve for what? 1 eqn 3 unknowns?
 
For example, x=y=z=1
 

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