Question: Problem with assign

Today I have a problem with assign that never arised before. I solved a system of equations with two solutions and wanted to assign, e.g. the second one. Does anybody know why "assign" here does not work, even though I often used it before in the same way. (I also tried it with the array-solution, but I received the same problem.

Output:

  {rH = 0., rL = 0., xH = 0.2289428485, xL = 0.2289428485}, {

    rH = 22.70954353, rL = 32.28670872, xH = 0.4250775404,

    xL = 0.4393791233}
  {rH = 0., rL = 0., xH = 0.2289428485, xL = 0.2289428485}, {

    rH = 22.70954353, rL = 32.28670872, xH = 0.4250775404,

    xL = 0.4393791233}
assign {rH = 22.70954353, rL = 32.28670872, xH = 0.4250775404,

  xL = 0.4393791233}
                         rL, rH, xL, xH

I would be very glad, if anybody could help me.

And here is the whole algorithm: