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solve for x,

1 / x+1 + 2 / x+2 = 5 / x+4 , x is not equal to -1, -2, -4.

   1x+1 + 2x+2 = 5x+4⇒x+2+2x+2x+1x+2 =  5x+4⇒3x + 4x2 + 3x + 2 =  5x+4⇒5x2 + 15x  + 10 = 3x2 + 16x + 16⇒2x2 - x - 6 = 0⇒2x2 - 4x + 3x - 6 = 0⇒2xx - 2 + 3x - 2 = 0⇒2x + 3x - 2 = 0⇒2x + 3 = 0    or   x - 2 = 0⇒x = -32    or   x = 2

  • 48
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solve for x,

1 / x+1 + 2 / x+2 = 5 / x+4 , x is not equal to -1, -2, -4.

(x+2 +2x+2)/(x+1)(x+2) =5/x+4

3x+4/x+ 3x+3 = 5/x+4

cross multiply

3x+ 16x+16 = 5x+ 15x+15

2x- x-1 = 0

2x -2x+x-1 = 0

(2x+1)(x-1)= 0

x= -1/2, 1
  • -4
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