I understand a few of the symbols the reduced Plank one for instance which that has a numerical value but what is H and t and why is i (-1^.5) there for and what do the vertical bars mean.

What was Schrodinger tryind to tell us ?

To answer you comprehensively and correctly would require some years of university physics, so I can begin with...small pieces and obviously someone else will reply "but that's not exact because..."

Level 0.5: It says how to relate the (quantum) system's wavefunction, for example of a particle, to the forces applied to it. The operator H (Hamiltonian, almost always correspond to the particle's energy) acts on the wavefunction (w.f.) as a differential equation for it; the partial derivative of the w.f. with rispect to time is the definition of that operator; so that equatino essentialy says: "the particle energy is: ..."

I know that this doesn't explain much, but we are just at level 0.5.

Remember that the w.f. is the quantum way of writing the particle's properties: instead of position and velocity (classical case for a point mass) you have a function of x and of t, from which you can compute what you want: approximately trajectory (en exact one doesn't exist in QM), energies, probability of finding the particle in every region of space and so on.