SOLUTION: solve and check the equation for x 5/x+6 + 2/x^2+7x+6 = 3/x+1

Question 94579: solve and check the equation for x
5/x+6 + 2/x^2+7x+6 = 3/x+1
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
+ =
:
Factor the quadratic;
+ =
:
Multiply thru by (x+6)(x+1)
(x+6)(x+1)* + (x+6)(x+1)* = (x+6)(x+1)*
:
Cancel out the denominators 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
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