Question: User: 4x²-6x+8÷2x+7
1. **State the problem:** Simplify the expression $$4x^2 - 6x + \frac{8}{2x} + 7$$.
2. **Rewrite the expression clearly:** The expression is $$4x^2 - 6x + \frac{8}{2x} + 7$$.
3. **Simplify the fraction:** Simplify $$\frac{8}{2x}$$ by dividing numerator and denominator by 2:
$$\frac{\cancel{8}^{4}}{\cancel{2}^{1}x} = \frac{4}{x}$$
4. **Rewrite the expression with the simplified fraction:**
$$4x^2 - 6x + \frac{4}{x} + 7$$
5. **Final simplified expression:**
$$4x^2 - 6x + \frac{4}{x} + 7$$
This is the simplified form of the original expression. Further simplification depends on the context or if you want a common denominator.