SOLUTION: What is the solution set of the equation (x/x-4)-(1/x+3)=(28/x^2-x-12)? Please help and thank you! I really appreciate it.

Question 696652: What is the solution set of the equation (x/x-4)-(1/x+3)=(28/x^2-x-12)?
Please help and thank you! I really appreciate it.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

What is the solution set of the equation (x/x-4)-(1/x+3)=(28/x^2-x-12)?
Please help and thank you! I really appreciate it.

** Note that for this equation, , and

x(x + 3) - 1(x - 4) = 28 ----- Multiplying by LCD, (x - 4)(x + 3), or

(x + 6)(x - 4) = 0

x + 6 = 0 -----

x - 4 = 0 ---- . However, as stated previously, .

Therefore, only solution is:

You can do the check!!

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