SOLUTION: Solve and check for X: 5 2 3 ------ + --------- = ------ x+6 x^2+7x+6 x+1 This problem has lost me completely, thank you for the help

Algebra ->  Equations -> SOLUTION: Solve and check for X: 5 2 3 ------ + --------- = ------ x+6 x^2+7x+6 x+1 This problem has lost me completely, thank you for the help      Log On


   

Question 66291: Solve and check for X:
5 2 3
------ + --------- = ------
x+6 x^2+7x+6 x+1
This problem has lost me completely, thank you for the help
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Solve and check for X:
5%2F%28x%2B6%29%2B2%2F%28x%5E2%2B7x%2B6%29=3%2F%28x%2B1%29
First factor the denominators:
5%2F%28x%2B6%29%2B2%2F%28%28x%2B6%29%28x%2B1%29%29=3%2F%28x%2B1%29
The LCD is (x+6)(x+1), Multiply everything by the LCD.


5%28x%2B1%29%2B2=3%28x%2B6%29
5x%2B5%2B2=3x%2B18
5x%2B7=3x%2B18
5x-3x%2B7=3x-3x%2B18
2x%2B7=18
2x%2B7-7=18-7
2x=11
2x%2F2=11%2F2
highlight%28x=11%2F2%29
Happy Calculating!!!