5/(x+5) - 4/5 = 1/(5x+25)

What is/are the value or values of the variable that make(s) the denominators zero?

x=-5

Step-by-step explanation:

Denominators are:

x+5, 5, and 5x+25

5 cannot be turned to 0 since it does not have a variable.

So we have x+5 and 5x+25.

eqyal each denominator to 0 since that is what we want.

x+5=0              5x+25=0

x=-5                 5x=-25

                        x=-25/5

                        x=-5

∴x=-5 for all denominators to make 0.