# "Unpredictable Solution" Problem (Part 2)

Algebra Level 4

$\begin{cases} xy-2x-y = 10 \\ yz-3y-2z = 14 \\ zx-z-3x=12 \end{cases}$

Let $$x,y,z$$ be all positive numbers satisfying the system of equations above. Find the value of $$(x+y+z)^2 + x^2 + y^2 + z^2$$.

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