Yes, it is.
delta mixG=nRT(xlnx+...)
and
delta mixV=dG/dp => delta V=0
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10 multiplied by 0 is 0!
Yes, zero can and is the solution of many equations.
It is not clear what the question requires. Yes, there are plenty of equations that have the same solution. For example, each and every equation of direct proportionality has the solution (0, 0). So what? every polynomial of the form y = anxn + an-1xn-1 + ... + a1x + a0 has the solution (0, a0). Again, so what?
no solution
It has infinitely many solutions.