\( \frac{3}{x}+2=\frac{5}{4 x}+\frac{17}{8} \) a. What is/are the value or values of the variable that make(s) the denominators zero? \( x=\frac{21}{44} \) (Simplify your auswer use a comma to separate ansivers es needed)

To find the values of \( x \) that make the denominators zero in the equation \[ \frac{3}{x} + 2 = \frac{5}{4x} + \frac{17}{8}, \] we need to identify the denominators in the equation. The denominators are \( x \) and \( 4x \). 1. **Set the denominators to zero:** - For \( x \): \[ x = 0 \] - For \( 4x \): \[ 4x = 0 \implies x = 0 \] Both denominators yield the same value, \( x = 0 \). Thus, the value that makes the denominators zero is: \[ x = 0 \] The provided answer \( x = \frac{21}{44} \) does not make the denominators zero. Therefore, the only value that makes the denominators zero is: \[ \boxed{0} \]