Question: User: - 1 over 2 (6x squared - 4x)
1. **State the problem:** Simplify the expression $$- \frac{1}{2} (6x^2 - 4x)$$.
2. **Recall the distributive property:** When multiplying a number by a parenthesis, multiply the number by each term inside the parenthesis.
3. **Apply the distributive property:**
$$- \frac{1}{2} \times 6x^2 = - \frac{1}{2} \times 6x^2$$
$$- \frac{1}{2} \times (-4x) = - \frac{1}{2} \times (-4x)$$
4. **Calculate each term:**
$$- \frac{1}{2} \times 6x^2 = - \frac{6x^2}{2}$$
$$- \frac{1}{2} \times (-4x) = + \frac{4x}{2}$$
5. **Simplify the fractions:**
$$- \frac{\cancel{6}x^2}{\cancel{2}} = -3x^2$$
$$+ \frac{\cancel{4}x}{\cancel{2}} = +2x$$
6. **Write the simplified expression:**
$$-3x^2 + 2x$$
**Final answer:** $$-3x^2 + 2x$$