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29 September, 21:41

Solve the equation. Show all your work.

x/x-2+x-1/x+1=-1

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Answers (1)
  1. 29 September, 22:39
    0
    Multiply both sides by (x-2) (x+1) to clea fractions

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

    distribute

    x^2+x+x^2-3x+2=-x^2+x-2

    add like terms

    2x^2-2x+2=-x^2+x+2

    add x^2 to both sdes

    3x^2-2x+2=x+2

    minus x from both sides

    3x^2-3x+2=2

    minus 2 both sides

    3x^2-3x=0

    factor

    (3x) (x-1) = 0

    set to zero

    3x=0

    x=0

    x-1=0

    x=1

    x=0 or 1
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