# The equivalent polar equation for the given rectangular-coordinate equation: x^{2} + y^{2} + 8x=0

The equivalent polar equation for the given rectangular-coordinate equation:
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Asma Vang

Conversion formula for coordinate systems are given as:
a) From polar to rectangular:
$x=r\mathrm{cos}\theta$
$y=r\mathrm{sin}\theta$
b) From rectangular to polar:

Converting into equivalent polar coordinates:

Put

Hence, desired equivalent polar coordinates would be