Why does this:
Solve[a x^4 + b x^3 + c x^2 + d x + e == 0, x] /.
{2 c^3 - 9 b c d + 27 a d^2 + 27 b^2 e - 72 a c e -> F}
produce a different result from this?
Solve[a x^4 + b x^3 + c x^2 + d x + e == 0, x] /.
{2 c^3 - 9 b c d + 27 a d^2 + 27 b^2 e - 72 a c e -> F} /.
{2 c^3 - 9 b c d + 27 a d^2 + 27 b^2 e - 72 a c e -> F}
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