#16531: Expression.solve() does not handle multiple variables to solve for.
-----------------------------+--------------------------------
   Reporter:  mmarco         |            Owner:
       Type:  PLEASE CHANGE  |           Status:  new
   Priority:  major          |        Milestone:  sage-6.3
  Component:  symbolics      |         Keywords:  sd59
  Merged in:                 |          Authors:  Miguel Marco
  Reviewers:                 |  Report Upstream:  N/A
Work issues:                 |           Branch:
     Commit:                 |     Dependencies:
   Stopgaps:                 |
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 Right now we get this answer

 {{{
 sage: var('b, c')
 (b, c)
 sage: solve((c-1)*(b-1), [b,c])
 [b == 1]
 }}}

 Which is wrong. In fact maxima can do it correctly:

 {{{
 sage: f = (b-1)*(c-1)
 sage: f._maxima_()
 (b-1)*(c-1)
 sage: f._maxima_().solve([b,c])
 [[b=1,c=%r3],[b=%r4,c=1]]
 }}}


 This patch solves it.


 I ignored this comment:

 {{{
         # Take care of cases like solve([x^2-1], [x]) for consistency with
         # multiple variable input in sage.symbolic.relation.solve().
         # There *should* be only one variable in the list, since it is
         # passed from sage.symbolic.relation.solve() and multiple
 variables
         # there don't call this function.
 }}}

 In sage/symbollic/expression.py because there is no such consistency
 issue:

 {{{
 sage: sage.symbolic.relation.solve(f,[b,c])
 [[b == 1, c == r5], [b == r6, c == 1]]
 }}}

 This should solve the issue:

--
Ticket URL: <http://trac.sagemath.org/ticket/16531>
Sage <http://www.sagemath.org>
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