solve does not work in one of two very similar cases

[matswb]

var('n')
solve(abs(-(8*n+1)+(-11*n-1)*3+(8*n-2)*(-2)-30*n)/sqrt((8*n+1)^2+(11*n+1)^2+(8*n-2)^2)==sqrt(29), n)

does not find solutions (which are n==1 and n==-1/2), but the very similar

var('m')
solve(abs(-(8+m)+(-11-m)*3+(8-2*m)*(-2)-30)/sqrt((8+m)^2+(11+m)^2+(8-2*m)^2)==sqrt(29), m)

works just fine.

Component: algebra

Keywords: equation solve abs quadratic

Issue created by migration from https://trac.sagemath.org/ticket/25006