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

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

• A. -10
• B. -15
• C. -20
• D. -25

Answer: (B)

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

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