Question

Is a "solution" another term for zeros?

Answer 1

No

Explanation:

because its not a generally vector-valued function

Answer 2

Not necessarily

Explanation:

A "solution" and a "zero" are the same thing for the equation ...

f(x) = 0

For anything else, such as ...

f(x) = 1

a zero of f(x) is not a solution.

_____

All equations can be put into the form

f(x) = 0

so a zero will be a solution to it. I often use this form with a graphing calculator, because those are adept at finding zeros.