# Thread: Finding solution

1. ## Finding solution

We are given that the equation f(x)=0 has a solution at x=3. Using this information we have to find as many solutions as possible of the equations
1) 2f(x+5)=0 and 2. $\left | f(x) \right |=0$

2. 1. $2f(x+5) = 0$ is equivalent to $f(x+5) = 0$.

Since you know $f(3) = 0$, set $f(x+5) = f(3)$.

This much gives you at least $x + 5 = 3; x = -2$.

2. $|f(x)| = 0$ has the same roots as $f(x) = 0$.