problem with multi linear regression, because of scaleabilitiy

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Hi,
Currently I am trying to find several dynamic parameters of a linear motor. (D dampingcoef, C forcecoef and a variable linear mass= (M+m*x))
My system of equations is:
D*x+M*y+m*z=C*f
Where x y z f are arrays of measured values
Is there a way to use a multilinear regression in order to find (D,M,m and C)? My problem is that with the regular methods I can just change C and still find solutions in other words its not a finite solution.

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