You can't make an omelette without breaking eggs is a statement that suggests that , at various situations or times in life we can't solve problems without it having effects on us.
It also makes it an advantage and tells us that sometimes we can't achieve success without making mistakes somewhere; someway or somehow.
As humans, mistakes are a part of us and will forever be a part of us but mistakes are supposedly not supposed to happen twice or more hence making it of great importance as it helps shape us and make us mindful of the outcome of certain actions or activities.
Mistakes may be of great disadvantage to us as it sometimes causes a great deal of loss and a whole lot of frustration but they are made to shape us.
Imagine solving a question while preparing for an exam. In the cause of doing it, you made a mistake with "Basic operations" causing the whole answer to be wrong hence causing failure in the trial.
Such occasions are unfortunate but when it happens it gives a sense of caution and makes us go by the correct way or principle. As this happens, it prepares you to be extra careful to avoid same mistakes incase same or similar question appers in the exam.
In a project of writing codes to make a specific thing happen, mistakes might be in the project (code) which when run at it's basis will produce an error making us fix and look at how it is "integrated" or "called" properly in order not to make silly mistakes when the lines of codes become excessive or plenty.
It is advisable not to always get "mad" at things when they don't go well or go as expected but rather learn from them by reviewing them, develop and try as much as possible to avoid such mistakes from happening again at all costs.
Summary
This statement in its own sense talks about why mistakes are of relevance especially when we are doing nearly impossible tasks or things that hasn't already being done ..
We make mistakes only to correct ourselves and keep the game or project going because nothing can be achieved on a silver platter, if and only if it is of great relevance.
It is therefore advisable that, we prepare for and keep in mind that mistakes are bound to happen in any project we try making all we have to do is fix it, take notice of the cause of it and never repeat it since we might not be able to stop mistakes from happening for the first time but can prevent it from repeating itself.
Thank you all for your time, special thanks to @Telesfor , it's Dangerous_Fly once again, Bring It On!!!.
Integrated article by @Her-bert
God is perfect and we His creation is not perfect, as humans mistakes always at abreast on us, we commit it knowingly and unknowingly even how hard we try to evade. That is why, before a business is about to established there is a feasibility study made, to know whether the project is feasible. It is to avoid mistakes and failures in the future. But still how polish the study was made, in the cycle of the business there is always failures and mistakes will be committed in running the business. The reason why in business a funding was set aside for bad debts, that in case of failures or deficits, you have enough funding for replenishment. Putting in mind that mistakes is not running after us but rather in our side, always with us preparing to lounge on us when we are caught unguarded.