Question

the following rational equation has denominators that contain variables. for this equation, a. write the value or values of the variable that make a denominator zero. these are the restrictions on the variable b. keeping the restrictions in mind, solve the equation.\\(\frac{3}{x} = \frac{21}{8x} + 3\\)\
a. what is/are the value or values of the variable that make(s) the denominators zero?\
x = \\(\square\\)\
(simplify your answer. use a comma to separate answers as needed.)

Explanation:

Step1: Identify denominator zero condition

Set denominators equal to 0: $x=0$, $8x=0$

Step2: Solve for restriction value

Solving $x=0$ and $8x=0$ gives $x=0$

Answer:

$x=0$