What is the result of solving the equation [(4 x -3)+(-9 x 2)] / 2?

To solve the equation ([(4x - 3) + (-9x^2)] / 2), you first need to simplify the expression within the brackets. Start by combining the terms:

1. Identify the terms: You have (4x) and (-9x^2) and a constant term (-3).

2. Combine the expression: This gives you:

[

-9x^2 + 4x - 3

]

3. Divide the entire expression by 2:

[

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

]

4. Distribute the division:

[

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

]

Which simplifies to:

[

-\frac{9}{2}x^2 + 2x - \frac{3}{2}

]

Next, we need a specific value for (x) to evaluate the expression to see if it results in any of the multiple-choice options