algebra 2 help.?

Question

1/m+5 = 2/m^2-25

Answer 1

First, all you must do is cross-multiply.

You get m^2-25 = 2m+10.

Then, you combine like terms and set the equation equal to 0.

m^2-2m-35 = 0

Next, you will factor.

(m-7)(m+5) = 0

Now set each one equal to 0.

m-7 = 0; m=7

m+5 = 0; m=-5

You want to check each one just to make sure you're getting the correct answer for each one.

In this case, both check out when you plug the numbers in for m.

Therefore, m=7,-5