SOLUTION: Solve the equation. {{{6/(z^2+8z+7)+5/(z^2+2z-35)-3/(z^2-4z-5)=0}}} (Type an integer or simplified fraction. Use a comma to separate answers as needed) Please, this is part

Algebra ->  Expressions-with-variables -> SOLUTION: Solve the equation. {{{6/(z^2+8z+7)+5/(z^2+2z-35)-3/(z^2-4z-5)=0}}} (Type an integer or simplified fraction. Use a comma to separate answers as needed) Please, this is part      Log On


   

Question 387328: Solve the equation.
6%2F%28z%5E2%2B8z%2B7%29%2B5%2F%28z%5E2%2B2z-35%29-3%2F%28z%5E2-4z-5%29=0
(Type an integer or simplified fraction. Use a comma to separate answers as needed)
Please, this is part of my final and I dont know how to do this!!
I would really appreciate the help!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
6%2F%28z%5E2%2B8z%2B7%29%2B5%2F%28z%5E2%2B2z-35%29-3%2F%28z%5E2-4z-5%29=0
Factor all the denominators

:
The common denominator:(z+7)(z+1)(z-5); multiply each term, results:
6(z-5) + 5(z+1) - 3(z+7) = 0
:
6z - 30 + 5z + 5 - 3z - 21 = 0
Combine like terms
6z + 5z - 3z - 30 + 5 - 21 = 0
:
8z - 46 = 0
:
8z = 46
z = 46%2F8 = 23%2F4
:
I did check the math on this but it may be a good idea for you to check it.