Which of the systems has non-trivial solutions? If so, find these solutions. \[ \begin{array}{l}...

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Which of the systems has non-trivial solutions? If so, find these solutions.
\[
\begin{array}{l}
5 x+5 y+2 z=0 \\
2 x+5 y+4 z=0 \\
4 x+5 y+2 z=0
\end{array}
\]
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