What can I do to make my mixer turn on? It wont

Some ...what you may consider silly stuff...
1 check the outlet that you are plugging your mixer into it may be bad. Not the wire but the plug in the wall may be bad, plug a hair dryer in on high if it runs for 60 seconds it ok.
2 check the plug of the mixer make sure it is not bent at the wall pins
3 open the rear of the mixer by removing the round cover at the rear of the mixer look for loose wires, sometimes the socket connectors on the speed switch break off.
4 there are three screws on the speed control switch that control the mixer, sometimes after time these screws can actually turn due to vibration and the mixer will just not start....so.....start with the top right screw and turn it counter clock wise a quarter turn and start the mixer if it starts even for a half a second then the problem is in the switch. and your only problem is the proper timing set by the three screws.
5 gears inside the mixer can strip and freeze the motor so nothing turns...put your ear next to the machine mid way and turn it on ...if you hear a hum from inside then it is a gear problem.
6 If your machine is older then 1978 then it may be the IR filter inside the mixer (hard to find )
7 the carbon brushes that are located on the side of the mixer may have finally worn down (cheap fix) but there are four ways to put the new brushes into the machine and only one way works. You have to be careful with the beveled edge of the new brush and which way it fits back into the housing.
8 Now you are inside the mixer if everything else fails, the motor is the next step and it will require a full tear down, to repair, there are two parts the armature and the winding and each will take about thirty-five bucks to get and either or both will take about 2 hours to repair but if you go all the way down then you need a new gasket and gear grease clean and re-pack too. At this point you are performing an overhaul . let us know if this helps.