Solve for x. If you have multiple solutions, separate them with a comma. (3/x+5)-(5/x^2+6x+5)=(2/x+1).

I got the answer of 14 but its wrong. Where is my simple stupid math mistake?

Question

Solve for x. If you have multiple solutions, separate them with a comma. (3/x+5)-(5/x^2+6x+5)=(2/x+1). 

I got the answer of 14 but its wrong. Where is my simple stupid math mistake?

phi · Answer

I assume you know that x^2+6x+5= (x+5)(x+1)
I would multiply all terms both sides by (x+5)(x+1)  (and cancel) to clear the denominator. Then solve for x

anonymous · Answer

Right and I did that and I got 3x+1-5=2x+10...right?

phi · Answer

isn't the first term 3*(x+1) ?

anonymous · Answer

yes

phi · Answer

then how did you get 3x+1?

anonymous · Answer

Since you are cancelling out (x+5) of the denominator that leaves you with (x+1) of the common denominator so it would be 3*(x+1)= 3x+1

phi · Answer

when you distribute the 3, you multiply each term inside the parens by 3

phi · Answer

you did 2(x+5) correctly:  2x+10

anonymous · Answer

oh.....there is my stupid math mistake. Thanks for your help!