after the -5 cos the symbole is there.

multiply both sides by r

r^2 = -5r cos theta

since r^2 = x^2 + y^2 and x = rcos theta

(x^2 + y^2) = -5x

complete the square:

x^2 +5x + (5/2)^2 + y^2 = (5/2)^2

(x + 5/2)^2 + y^2 = 25/4

This is an equation of a circle with center at (-5/2,0) and radius r = 5/2

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