Determine the points of intersection (if any) of the circle \( x^{2}+y^{2}+5 x=0 \) with each of...

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Determine the points of intersection (if any) of the circle \( x^{2}+y^{2}+5 x=0 \) with each of the following lines:
\[
3 x-y+1=0
\]
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