collect variables buried in an expression
Suppose we have
var('Pmean,alpha,M,Nb,D,H,c');
sol3= [M == 1/4*(2*D*Nb*Pmean - (D*H*alpha + D*H)*c)/((alpha + 1)*c)]
How would you collect the coefficients of D*H in the second term?
Specifically, once the collection is done, how could the factored version of the expression be returned?
I know from using other computer algebra systems that it can be taken all the way to this:
M==1/4*D*(-H+(2*Nb*Pmean)/((1+alpha)*c))