If #(m-7)(n+4)=0#, what is true of #m# or #n#?
When we have a multiplication statement equal to 0. Then we are able to use the zero factor property which means if any factor is 0, the product is also 0.
The answer is simple when you are given a multiplication statement. However, we are generally given polynomials and we must factor the polynomial in order to find the solution. For example,
and the answer is
Notice that the answers specify "or", not "and". "and" is a more strict condition. "x" cannot be -2 and -4 at the same time; so technically "and" would make the answer incorrect.
In the case of your question,