Covert the equation x2 y2 6x 0 to polar form Then solve t

Covert the equation x^2 + y^2 + 6x = 0 to polar form. Then solve the resulting equation for r.

x^2 + y^2 +6x =0

Plug x = rcostheta; y = rsintheta

r^cos^2theta + r^2sin^2theta + 6*rcostheta =0

r^2( cos^2theta + sin^2theta) + 6*rcostheta =0

r^2 + 6*rcostheta =0

r = -6cos(theta)