SOLUTION: Hello can you please solve for x: 2- 4/x^2 = -2/x I think the LCD is x^2 is that correct? what do you do after finding the LCD? Thank you in advance!!!

Algebra ->  Rational-functions -> SOLUTION: Hello can you please solve for x: 2- 4/x^2 = -2/x I think the LCD is x^2 is that correct? what do you do after finding the LCD? Thank you in advance!!!      Log On


   



Question 396197: Hello can you please solve for x:
2- 4/x^2 = -2/x
I think the LCD is x^2 is that correct? what do you do after finding the LCD? Thank you in advance!!!

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
2- 4/x^2 = -2/x |Multiplying @ term by x^2 so as all denominators = 1
2x^2 - 4 = -2x
2x^2 + 2x - 4 = 0
factoring
(2x -2)(x+2) = 0 Note:SUM of the inner product(-2x) and the outer product(4x) = 2x
(2x -2)=0
x = 1
(x+2) = 0
x = -2