If the used units are considered, your given equation looks as this.
Centripetal acceleration + angular velocity * linear velocity = 1/density * density
And this can be simplified by
Acceleration + acceleration = unitless
This is totally wrong in physics.
All the units[ actually dimensions ] used in the equation should be the same otherwise the equation itself is meaningless.
2 apple + 3 pear = 5 grape
This equation is meaningless.
2 apple + 3 apple = 5 apple
This has meaning. Like this, units work like fruits in this example.
I think the unit for right side is wrong in certain way, because for left side two terms using the same dimension such as acceleration. I guess you miss gravitational acceleration for right side.
Hope this help you.