SOLUTION: Can someone help me Solve the equation: x/2x+2=-2x/4x+4 + 2x-3/x-1 Thanks

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Can someone help me Solve the equation: x/2x+2=-2x/4x+4 + 2x-3/x-1 Thanks      Log On


   



Question 134975: Can someone help me
Solve the equation:
x/2x+2=-2x/4x+4 + 2x-3/x-1
Thanks

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the equation:
x/(2x+2) = -2x/(4x+4) + (2x-3)/(x-1)
x/(2x+2) = -2x/(4x+4) + (2x-3)/(x-1)
x/[2(x+1)] = -x/[2(x+1)] + (2x-3)/(x-1)
Multiply thru by 2(x+1)(x-1) to get:
x(x-1) = -x(x-1) + 2(x+1)(2x-3)
2x(x-1) = 2(2x^2-x-3)
2x^2-2x = 4x^2-2x-6
2x^2-6 = 0
2(x^2-3) = 0
x = sqrt3 or x= -sqrt(3)
=============================
Cheers,
Stan H.