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If the area of the rectangle is 35x^(2)-46x-16 square inches, and its length is 7x+2 inches, find its width.

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Sure, to determine the width of the rectangle, you would need to divide the area of the rectangle by its length.


Starting with the equation:
length * width = area


We have the area and the length, so substituting them into the equation gives us:
width = area / length

Our variables are:
- The area, which equals 35x^2 - 46x - 16 square inches
- The length, which equals 7x + 2 inches

So if we substitute those directly into our width equation, we get:
width = (35x^2 - 46x - 16) / (7x + 2)

Thus, the width of the rectangle is (35x^2 - 46x - 16) / x inches.

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