Answer
See graph
Work Step by Step
$$x^2+10x+y^2=0$$
Complete the square.
$$x^2+10x+25+y^2=25$$
$$(x+5)^2+y^2=25$$
The center is (-5,0) and the radius is 5.
Points to plot are:
$$(0,0)$$
$$(-10,0)$$
$$(-5,5)$$
$$(-5,-5)$$
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