First, head to Eterna City. Then, go to the southernmost part of the city, where the exit is. This'll lead you to a cycling road (Route 206); head all the way down and exit the cycling road. You'll still be on Route 206, so go right until you see a tree that can be cut by HM01:CUT. Cut it down, and then head along the grass, going north. You'll eventually see a cave entrance (WAYWARD CAVE.) Once inside, you'll need to rock smash your way through the caves maze and find ramps that you can hop over with the bike.
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You find the TM Earthquake inside Victory Road.
TM 26 Earthquake can be found in the Relic Castle
That TM is in silph co.
Hypnosis is not a TM.