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)