An equation which agrees with experiment must also be simple and hence beautiful. We have some simple and beautiful equations in Physics such as
E=mc2 (Energy of light)
E=hν (Energy of a photon)
KE= 12mv2 (Kinetic energy of a moving particle)
PE=mgh (Potential energy of a body at rest)
W=F.d (Work done)
All have the same dimensions. One experiment shows dependency of energy on speed, the other shows dependency on frequency & displacement.
That's the beauty of equations in Physics coming from different experiments.