How to correctly express a variable with two solutions?

Question

Say we have $(x+1)(x+2) = 0$. So possible solutions of $x$ are $x=-1$, and $x=-2$;

Would it be considered correct syntax to say "$x = -1, -2$" ?

Answer 1

Mathematics should be written using natural language with symbols being used as a means to simplify otherwise convoluted expressions or due to conventions. For example:

"If the product of a number times itself plus three times the number plus two is equal to zero, then the number is either negative one or negative two."

is more clearly rewritten as:

"$x^2+3x+2=0$ implies $x=-1$ or $x=-2$".

This should help you view mathematics as a dialogue rather than a programming language of sorts.