SOLUTION: (m+2)/(m^2+8m+15)-(2)/(m^2+10m+25)=(m-2)/(m^2+8m+15) I need help, please?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: (m+2)/(m^2+8m+15)-(2)/(m^2+10m+25)=(m-2)/(m^2+8m+15) I need help, please?      Log On


   

Question 747562: (m+2)/(m^2+8m+15)-(2)/(m^2+10m+25)=(m-2)/(m^2+8m+15) I need help, please?
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
Don't be fooled by how complicated this monster of an equation looks. We'll methodically simplify it until we can solve.
First we move all terms with the same denominator to the same side




which becomes





Our next step is to factor denominators and simplify numerators


%0D%0A%28-2%29%2F%28%28m%2B5%29%28m%2B5%29%29=%28-4%29%2F%28%28m%2B5%29%28m%2B3%29%29%0D%0A

After we divide out a common factor of -2/(m+5) we get the proportion:

%0D%0A1%2F%28m%2B5%29=2%2F%28m%2B3%29%0D%0A
Now we cross multiply and solve for m

%0D%0Am%2B3=2%28m%2B5%29%0D%0A

m%2B3=2m%2B10
m-m%2B3-10=2m-m%2B10-10
-7=m

Therefore m=-7






:)