My car shakes from the engine when in drive and reverse at a stand still but is fine when i drive

Sounds like your engine timing needs to be advanced and yes I know your car is fuel injected and has coils but there is a small nut on back of jets that when loosed it can advance engine timing and the speed idle speed (driving with foot off the gas normally at coasting speed of 5mph.) My car did the same as yours but tune up and idle adjustment has my idle speed at 6 mph an no problems.

Check your engine mounts. It's an easy check. With the hood up, have a friend jump in the car and crank the engine. Look for the engine to "shake" or "jump" when he shifts the vehicle from park to reverse and back to park again.

When the car shakes that is the first indication that there is a problem with the motor, even if the engine light is off.------------------------------------------------------------------------------------
OBD2 Diagnostics Appareils

Broken engine mount, or something stuck in mount

could be a sensor...have it scanned...sounds like the problem....and good luck.

check you motor and transmission mounts. if one of them are wore out it will cause the car to do this. i just fixed a mazda with the exact some problem yesterday, but the situation was in reverse. runs like a champ now

I think the first step is to check the engine mounts.Open the hood,put your foot on the brake hard,put the car into reverse,rev the engine,and have someone watch the movement of the engine.You are going to need both feet for this.The engine should move no more than an inch.Have the person stand off to the side and repeat the procedure in drive. Hope this is it.Good luck

is it shaking due to rough running ? you may need a tuneup if not you may have a broken motor mount, with the hood open and the front and back of the vehicle is clear (not ruining anything over) stand to one side of the vehicle, observe the engine and have a helper with there foot firmly on the brake put it into reverse and apply the gas gently, then put it into drive and repeat the engine should move very little if it moves considerably replace the motor mount

I have a 1989 5-series BMW which sometimes stalls after changing from reverse to drive. It also sometimes shakes when first driving in reverse before changing to drive.

if the light is on it needs a good sevice, also may need a cleaner through the fuel, for the cleaner to work give her a lil service