Can 0 ever be the solution of an equation?

Answer 1

Yes, of course. In this sense, it is a number just like any number. In general, an equation can have zero, one, or several solutions; the solutions can be positive, negative, zero, fractional, irrational, or complex, depending on the equation.

Here is an equation that has zero as its solution:

x = 0 (this is only an equality if your replace "x" with 0).

Here are less trivial examples:

x + 1 = 1 (the only solution is x = 0)

x2 - x = 0 (two solutions: 0, and 1)