My washer shakes alot during the cycle, it moves a few feet and i've had to tape the side to the front b/c it shook the screws loose. It also makes a scary rumbling noise when its not spinning

https://www.partselect.com/Repair/Washer/Shakes-Moves Follow the link please.

The machine must be level or it will shake. There should be feet under the front which screw in and out. Get a spirit level and adjust the feet so it is sitting level front to rear and side to side.
Also make sure it isn't rocking slightly when it's not running - if so screw out one of the feet till it's steady. If you don't have a spirit (bubble) level compare how vertical the sides are to the wall/cupboards etc. However a level is best as even a little lean can make it shudder.
Or your putting too much washing in it!

I had the same problem. It was a combination of unbalanced loads and the machine was not level. I used a torpedo level I bought at Lowes to check the level of the machine. First, standing in front of the machine, put the level on the front edge of the machine top. Measure left to right and using a wrench adjust the screw feet on the bottom front of the machine until you reach level. Then standing in front of the machine, grab the two back corners of the machine console body (do not use the control panel for this as you will break it loose from the body). pulling up and forward, rotate the machine so that the back feet are lifted off the floor, while the front feet are still making contact with the floor. This allows the back feet to automatically level the machine. Using the level check from front to back on the left and right top of the machine body to ensure level is reached. Repeat the entire process until you reach an acceptable level condition on the washer. Note: All level measurements must be made on a flat surface of the machine.

1. Remove the lower panel under the door by loosening the three screws under the bottom edge on the front of the washer. HINT: If you prop up the front feet of the washer with some small blocks of wood, this will make access to the screws much easier.
2. With the screws removed, the lower panel should drop down then come off. If the panel sticks, a light tap on either side will knock it loose.
3. Reach your hand up inside the washer behind the front casing on the right-hand side. This is where the door latch assembly is located.
4. At the bottom of the door latch assembly is a small pull tab. This is the manual release for the door. Pull the tab straight down and the door will come open.

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try and set your feet on the frount of the washer if the floor is oneven the washer will move about

make sure the transport tie downs have been removed during installation and that all four feet are adjusted properly so machine does not rock.Also make sure your floor is reasonably solid.

Make sure the washer is leveled properly and all four feet are resting on the floor. If it is level, try running one cysle without any clothes in it to see it is spins without that violent shaking.. you may have also had an out of balance load.. Hope that helps!

First unplug the machine, now take off the front panel, two screws at the bottom of the front panel, front panel swings up and off.

check to make sure the six springs are still in place.

Under the tub is bearing housing between the tub and base usually white in color, under this is a plastic ring, does it seem to float easily when you move the tub. it could be broken. Also look around for loose or missing screws.

If all seems fine, make sure you have all four rubber feet on, level machine, in the front first side to side, then pull machine toward you to bring rear legs off floor, these are self leveling, have someone assist and make sure they are not stuck, use a pliers and break loose if they are. So with the machine on its front feet and the back feet off the ground set the machine down on all four feet check level front to back adjust as needed on the front legs. You should reset rear legs as you adjust the front. now with machine level tight the nut between the front legs and the base locking them.

This should help, if machine still shakes it could be the balance ring, has lost if solution its filled with a salt water solution, the hard part is you need to find it under the tub cover. we will go into the detail if we need to. ask more questions later

I have the same kenmore and have experience this before. It is unbalanced. Get a spirit level to check for balance. To rebalance, empty the washer (so it's not heavy), lean over the washer and grab the back, tilt it forward and the auto balancing legs should reposition themselves. Re-check for balance using the spirit level. If still out, adjust the front feet of the washer by screwing the legs up or down (using a wrench). This will cure the problem (unless you have a very unbalanced load of towels for instance). Good luck

Check the levelness of the washer by placing a level in the crease between the top of the washer and the cabinet, first on the front and then on the side. If the washer is not level, adjust the relevant feet up or down as necessery by twisting the feet. Repeat the process until washer is level. Tight the locknuts tight against the washer cabinet to prevent washer's vibration. Good luck!