Find an equation belonging to the same coaxal system

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Prove that in general there are two circles of non-intersecting coaxal system touching a given straight line. Find the equation of the two circles belonging to the same coaxal system as $$ x^2+y^2+8y+8=0$$ and $$ x^2+y^2+8x+16y+4=0 $$ which touch the line $x=2$.