If the equation is [(4 x -3) + (-9 x 2)] ÷ 2, what is the result?

To solve the equation ([(4x - 3) + (-9x^2)] ÷ 2), we first need to simplify the expression inside the brackets.

1. Combine Like Terms: In the expression (4x - 3 - 9x^2) (rewriting (-9x^2) as just a term to keep it clear), we notice there are no like terms to combine directly since we have one term involving (x^2) and a separate linear term (x).

2. Simplifying the Expression: The expression ((4x - 3) + (-9x^2)) simplifies to:

• ( -9x^2 + 4x - 3).

Thus, we have:

[-9x^2 + 4x - 3].

3. Divide by 2: Now, we need to perform the division:

[

\frac{-9x^2 + 4x - 3}{2} = -\frac{9}{2}x^2 + 2x - \frac{3}{2}].

Evaluating this expression