Answer
$x=\frac{4}{3}$
Work Step by Step
$f(x)=\frac{3x-4}{5}$
Since we are solving for all the real values of $x$ when $f(x) = 0$, set the function $f(x)=\frac{3x-4}{5}$ equal to zero and we get the following equation:
$\frac{3x-4}{5}=0$
First multipy both sides by 5 to simplify the denominator.
$\frac{3x-4}{5}(5)=0(5)$
$3x-4=0$
Now add 4 from both sides of the equation so that all of the constants are on the right side of the equation and all of the $x$ terms are on the left side.
$3x-4+4=0+4$
$3x=4$
Once all of the constants are on the right and all the $x$ terms are on the left, solve for $x$ by dividing both sides by $3$.
$\frac{3x}{3}=\frac{4}{3}$
$x=\frac{4}{3}$
