SOLUTION: Please help me: Solve and check all proposed solutions. ((12)/(x^2-9)) + ((x-5)/(x-3)) = 0 I am coming up with an answer of x+1/x+3 and it just doesn't seem right. Pleas

Question 288234: Please help me:
Solve and check all proposed solutions.
((12)/(x^2-9)) + ((x-5)/(x-3)) = 0
I am coming up with an answer of x+1/x+3 and it just doesn't seem right. Please help me with this.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve and check all proposed solutions.
((12)/(x^2-9)) + ((x-5)/(x-3)) = 0
------
Multiply thru by x^2-9 to get:
12 + (x-5)(x+3) = 0
---
x^2 -2x -3 = 0
Factor:
(x-3)(x+1) = 0
Possible solutions:
x = 3 or x = -1
----
x=3 is not a solution because it makes the denominator zero.
---
Only solution:
x = -1
=======================
Cheers,
Stan H.
RELATED QUESTIONS
Solve the equation. Check all proposed solutions and separate your answers with commas. (answered by ankor@dixie-net.com)

Solve and check all proposed solutions.... (answered by jim_thompson5910)

I wrote prior that I can solve this but somehow it gets too much and confused and I am... (answered by ankor@dixie-net.com)

Solve the equation. Check all proposed solutions and separate your answers with commas. (answered by Fombitz)

x^2-20/x^2-7x+12=3/x-3+5/x-4 Solve Not sure if I am multiplying correct LCD---... (answered by jsmallt9)

9. (8 pts) Solve the equation. Check all proposed solutions. Show work in solving and in (answered by mathsolverplus,MathLover1)

Please help to solve Simplify and evaluate: (2^x^5y^-3z^4/4^0x^-2y^-8z^5)^3 I don't... (answered by ankor@dixie-net.com)

x-4/(x+1) - 10/(x^2-1) = 0 (x-4)(x-1)-10/(x^2-1)=0 x^2-5x-6/(x^2-1)=0 how do i go... (answered by radikrr)

Solve the equation for x. log2(x) + log2(x - 1) = 1 I am coming up with x = {2, 1}... (answered by nerdybill)