Going to muscle failure doesn't necessarily mean that you will grow stronger faster. It can possibly be detrimental even. The first thing to understand, I think, about strength is that it's not just about how much muscle tissue a person has. It is very much a skill of neuromuscular coordination, where a lot of strength training is about training the nervous system how to recruit the available muscle fibers to exert force. Obviously, I don't really have any idea of how advanced you are in your strength training, but one thing that influenced me greatly for times when I've done some serious strength training was what I learned from Pavel Tsatsouline's book, Power to the People. One of the ideas he recommends to build strength, especially in novices, is what he calls greasing the groove.
Greasing the groove taps into the concept that strength is a skill you learn, and what you need is practice at it, practice with no failed reps. I used grease-the-groove during the initial period of time when I eventually was able to do a one-arm chinup with my right arm. It was pretty simple. I would do submaximal sets of regular chinups pretty much nearly every time I passed by the chinup bar hanging in the one doorframe at home. I would do as many reps as to the point where it felt like I still had at least one, if not two, reps left available. I didn't want to fail and give my body a learning experience where it failed, I wanted it to experience success and what had to be in place for the nervous system to recruit the muscles needed. Doing that got me to where I was able to crank out a max set of more than 20 chinups and then I shifted to training heavy by putting weights in a backpack. I would then sometimes have failures on a last set, but even those were rare as I generally would try to always leave a rep in the pocket.
It's certainly not that I don't think there isn't a place for training to failure protocols, but I don't think it's such a good idea until one has reached a fairly advanced level and has learned a good deal of strength skill.
Anyhow, good luck. Strength is useful.