SOLUTION: Solve and check for x. {{{5/(x+6)+2/(x^2+7x+6)=3/(x+1)}}} Could someone show me how to solve this equation, Please.

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Question 95619: Solve and check for x.

Could someone show me how to solve this equation, Please.

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Solve and check for x.

:
The quadratic in the denominator will factor:

:
The common denominator is (x+6)(x+1), multiply by that and we 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
:
Check using x = 5.5:
Solve and check for x.

:

:

:
.4348 + .02676 = .46154
.46156 ~ .46154

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