In this thesis work, I use the quadratic echo line-narrowing pulse sequence to take the highest resolution magnetic resonance images of P-31 in hard and soft solids using a conventional animal MRI system. I also discuss strategies to accelerate the imaging speed by making use of sparse MRI techniques as well as a new algorithm developed in our lab to do fast and accurate image reconstruction from sparse data. For future work, I propose ways to enhance spatial resolution and speed up imaging as well as discuss the potential applications of this work to a wider range of scientific problems.