This is a differential amplifier configuration. The equation for \(v_{\text{out}}\) is derived from the resistor values and the input voltages:
\[
v_{\text{out}} = 0.5(v_1 + v_2)\left(1 + \frac{R_2}{R_1}\right)
\]
Final Answer:
\[
\boxed{0.5(v_1 + v_2)(1 + \frac{R_2}{R_1})}
\]