SOLUTION: Solve and check the following equations for x. 5/x+6 + 2/x^2 + 7x+6 = 3/x+1

Algebra ->  Algebra  -> Expressions-with-variables -> SOLUTION: Solve and check the following equations for x. 5/x+6 + 2/x^2 + 7x+6 = 3/x+1       Log On

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Question 78125: Solve and check the following equations for x.


5/x+6 + 2/x^2 + 7x+6 = 3/x+1

Answer by ankor@dixie-net.com(12704) About Me  (Show Source):
You can put this solution on YOUR website!
Solve and check the following equations for x.

5%2F%28%28x%2B6%29%29 + 2%2F%28%28x%5E2%2B7x%2B6%29%29 = 3%2F%28%28x%2B1%29%29
:
5%2F%28%28x%2B6%29%29 + 2%2F%28%28x%2B1%29%28x%2B6%29%29 = 3%2F%28%28x%2B1%29%29: factored (x^2+7x+6)
:
Multiply thru by (x+6)(x+1) and you have:
5(x+1) + 2 = 3(x+6)
:
5x + 5 + 2 = 3x + 18
:
5x + 7 = 3x + 18
:
5x - 3x = 18 - 7
:
2x = 11
:
x = 11/2 = 5.5
:
I'll let you check it: substitute 5.5 for x in the original equation.