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

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

• A. -10
• B. -15
• C. 0
• D. 6

Answer: (B)

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

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