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To find the width of the pool, we need to divide the area by the length.
The area of the pool is 10x^2 - 19x - 15.
The length of the pool is 5x + 3.
So, the width is (10x^2 - 19x - 15) / (5x + 3).
This cannot be simplified any further, so the width of the pool is (10x^2 - 19x - 15) / (5x + 3).