An equation that solves as something along the lines of "x = 3" has a unique solution. If it solves along the lines of "x = x" or "0 = 0", then the equation has infinitely-many solutions, since any value of x will work. And if it solves as "0 = 3" or some such other nonsense, then there is no solution, since no value of x can ever make the equation true.
So solve the equation, and look at what type of solution you get.
Eliz.