Multiply the following polynomials and write the resulting polynomial in descending order.

(3x-8)(2x^2+4x-9)

The value of the constant is ____.

The resulting polynomial after multiplying the polynomials is:

6x^3 + 12x^2 - 27x - 16x^2 - 32x + 72
simplified to:
6x^3 - 4x^2 - 59x + 72

Therefore, the value of the constant is 72.