It is possible to solve the first layer corners and the second layer pieces at the same time. I do this intuitively (meaning I dont’ actually memorize these algorithms.) Yet here they are… enjoy.
There are three cases which I cover here.
- Bottom cross colour on Up face.
- Bottom cross colour on Right face.
- Bottom cross colour on Front face.
I do not cover the case for when the bottom cross colour is on the bottom face. For the most part I just pop this piece on to the top layer and solve with one of the above sets of algorithms. There are two exceptions:
- When the piece is correctly oriented I perform the algorithm from the beginner tutorial to place the edge from the top layer.
- When moving the piece to the top layer creates a solved corner/edge pair I just place it where it belongs.