No, it is not simply a matter of using the Tsiolkovsky rocket equation. It just tells you the change of speed (m/s) when ejecting rocket fuel mass (kg) disregarding influence of gravity of adjacent heavenly bodies like the Sun, planet Earth and its Moon.
Actually, the gravitational influences of adjacent heavenly bodies are taken into consideration when calculating how much delta-v is required for a given maneuver. Many years ago, Sir Issac Newton described how the gravitational influence of a body decreases as the distance from that body increases. This means that it's possible to calculate how fast you need to go to reach the moon's gravitational influence before the earth's gravitational influence pulls you back.
I am happy to see that you agree that Earth gravity affects a space craft trying to fly to the Moon after having applied a rocket force A on it catapulting the space craft out of EPO in the right direction towards the Moon for a couple of minutes, etc.
As soon as the rocket force is no longer applied, Earth gravity slows the space craft down and changes its direction.
If the rocket force A is too small, the space craft will just start to orbit Earth or crash on Earth after a while.
If the rocket force A is too big, you may pass the Moon at too high speed and carry on into the universe or drop into the Sun and burn up. There is no way to brake.
If the rocket force A catapults you, so that Moon gravity will get hold of you, you will crash on the Moon.
If you think that you can apply a rocket force B on your space craft at the right time and direction, so that you start orbiting the Moon, you are mistaken and live in a fantasy world.
But say that you are orbiting the Moon, and apply a rocket force C to slow down so that you can get out of Moon orbit and land, you still must consider Moon gravity. It pulls you down all the time. No rocket equation will help you.
But say that you land and go out for a piss. There is no toilet in your space craft. You are a hero!
The first twerp to piss on the Moon. After that you apply a new rocket force D to start orbiting the Moon again. And in Moon orbit you apply another rocket force E to be catapulted out of orbit to return the Earth to tell the POTUS about your pissing.
As soon as Earth gravity gets hold of you, you just go faster and faster straight to Earth. Your speed will be 11,000 m/s when you hit the thin atmosphere at 110,000 m altitude and a few seconds later you burn up at 55,000 m altitude and become dust.
But say you can apply a rocket force F to brake and land on Earth again at 0 m/s speed.
It means that you must apply six rocket forces A, B, C, D, E and F to your space craft for a Moon round trip. Each application requires fuel and my
Challenge is to show that you can get that fuel into EPO to get started.
Pls don't tell me that a rocket equation tells me how much fuel is required to do six burns for a space trip.