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{4}{5x + 25}=\frac{8}{x + 5}-\frac{4}{5}\\)\
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: Factor first denominator

$5x+25=5(x+5)$

Step2: Find zeros of denominators

Set $x+5=0$ → $x=-5$

Answer:

$x=-5$