I know Sage has some issues with a variable in front of parens when
using implicit multiplication.  Why did that make the first give the
wrong answer when using implicit multiplication? How is sage
interpreting it?

sage: solve(3 + x (x-1)==5,x)
[x == 3]
sage: solve(3 + x*(x-1)==5,x)
[x == 2, x == -1]

cs

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