Quadratic Equation

answers are 4.5 and -8 assuming the equation equals 0

The expression $(2x-9)(x+8)$ can be simplified by using the distributive property (FOIL method):

$$(2x-9)(x+8) = 2x(x) + 2x(8) - 9(x) - 9(8).$$

Simplify each term:

$$2x^2 + 16x + 9x - 72.$$

Combine like terms:

$$2x^2 + 25x - 72.$$

So, the simplified expression is $2x^2 + 25x - 72$.