SOLUTION: I need help with solving this rational equation please. The directions say to solve by multiplying both sides by the least common denominator. 4/2x+6 - 3/x+3 = x/2 Any help

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need help with solving this rational equation please. The directions say to solve by multiplying both sides by the least common denominator. 4/2x+6 - 3/x+3 = x/2 Any help      Log On


   

Question 77150: I need help with solving this rational equation please. The directions say to solve by multiplying both sides by the least common denominator.
4/2x+6 - 3/x+3 = x/2

Any help would be greatly appricated.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
4/2x+6 - 3/x+3 = x/2
Rewrite as:
2/(x+3) - 3/(x+3) = x/2
Multiply thru by 2(x+3) to get:
4 -6 = x^2+3x
x^2+3x+2=0
(x+2)(x+1)=0
x=-2 or x=-1
================
cheers,
Stan H.