the car steering shaking and the check engine light are almost certainly NOT the same problem. Mustangs shake, that's just how it works. If you want to know what the check engine light is for, take it to autozone, they'll tell you what the code means and maybe be able to offer advice. If they can't help you... a mechanic is the next stop.
That is typically a wheel balance problem.
you steering wheel starts shaking because you probably have warped roders your shaking will get worse at higher speeds and when pressing the brake
Well, if you have the same problem mine has, it's the steering mechanism. The CV joints, the tie-rods, etc.... Or it could be a simpler problem like the tires being out of balance. But I would check the steering no matter what.
A shaking steering wheel means something is wrong. Can be a tire out of balance, bent wheel, or suspension problem. Whatever it is, the shaking it putting stress on other parts and can cause other things to wear out. It is especially hard on wheel bearings. have this diagnosed and repaired asap.
This is a classic symptom of a tire out of balance. Have the tires inspected for damage and have the tires rotated and balanced. This should solve the problem.
A bent, loose or unbalanced wheel. And, if there is no shaking in the steering wheel, then it is most likely from one, or both, of the rear wheels. Irregularity or bulge in a tyre also causes car shaking. I've has this problem once, and it was because the engine mounts needed to be replaced.
It sounds like you either have a problem with your alignment or your front wheels are unbalanced. I also had a similar problem where everything shook because my tires were worn out and out of balance.
Tires out of balance. WHEEL bent, The steering shock may be worn out.
What is the answer
The first and easiest thing to check would be have the front wheels checked for balance, if doesn't fix problem well need to have the ball joints, tie rods ends, steering linkage checked.
Tires need to be balanced and re-aligned
From my experience with this problem it isn't the steering wheel that is shaking but your U joints could be bad or something else under the car. Get it to a mechanic. Can't give a cost for this.