1. The problem is to find the values of $x$ such that $f(x) = 0$. 2. To solve $f(x) = 0$, we set the function equal to zero and solve for $x$. 3. The exact steps depend on the form of $f(x)$, but generally: - If $f(x)$ is a polynomial, factor it if possible. - Use the zero product property: if $a \cdot b = 0$, then $a=0$ or $b=0$. 4. For example, if $f(x) = ax^2 + bx + c$, solve $ax^2 + bx + c = 0$ using the quadratic formula: $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ 5. If $f(x)$ is linear, e.g. $f(x) = mx + b$, solve $mx + b = 0$ by isolating $x$: $$mx + b = 0 \Rightarrow \cancel{m}x + \cancel{b} = \cancel{0} \Rightarrow x = -\frac{b}{m}$$ 6. Without a specific function $f(x)$, the general approach is to set $f(x) = 0$ and solve for $x$ using algebraic methods appropriate to the function type.