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 \(2x^2 + 25x - 72\).