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Verified Answer :

  1. 5x-5 
    .       ------------------
    .        10x²-25x+15

    We can first factor 10x²-25x+15, it will turn into (2x-3) and (5x-5) 
      (if you need help on factoring, please leave a comment)

    So the question will be like:
    .            5x-5
    .        ---------------                  
    .       (2x-3)(5x-5)               The factored answer is the same as the original           .                                         number, so the factor answer can replace it.

    We know 5x-5 on the top and 5x-5 on the bottom is the same, so they can cancel out, and it will become:
    2x-3=0 

    Then solve
    2x-3=0 
    2x=3
    x=2/3

    6.

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    (if you need more explanations, please leave a comment)