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Your solve syntax has two minor problems. First, Sage uses == for equality, not =, and second, the parentheses aren't balanced. You're missing ). After correcting these:

sage: solve(eng==(k-1)*md*Vm^2/(2*Patm*Vc*(Pc-Pc^(1/k))),Vc)                           
[Vc == (1821842000000/164304225615681)]

Your solve syntax has two minor problems. First, Sage uses == for equality, not =, and second, the parentheses aren't balanced. You're missing "). ". After correcting these:

sage: solve(eng==(k-1)*md*Vm^2/(2*Patm*Vc*(Pc-Pc^(1/k))),Vc)                           
[Vc == (1821842000000/164304225615681)]