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The variable term, X^3, is a third order polynomial term and will render three solutions, though one of those may be zero.
Without an equality sign the given terms can't be considered to be an equation and so therefore no solutions are possible.
A polynomial discriminant is defined in terms of the difference in the roots of the polynomial equation. Since a binomial has only one root, there is nothing to take its difference from and so in such a situation, the discriminant is a meaningless concept.
A single linear equation in two variables has infinitely many solutions. Two linear equations in two variables will usually have a single solution - but it is also possible that they have no solution, or infinitely many solutions.
None because without an equality sign it is not an equation and so therefore no solutions are possible.