Solve {l}{z_{1}+frac{v_{1}*v_{2}}{2}=z_{2}+frac{V_{2}}{2}}{v_{1}=3}{z_{1}=5}{z_{2}=10}

$$\left. \begin{array} { l } { z _ { 1 } + \frac { v _ { 1 } \cdot v _ { 2 } } { 2 } = z _ { 2 } + \frac { V _ { 2 } } { 2 } } \\ { v _ { 1 } = 3 } \\ { z _ { 1 } = 5 } \\ { z _ { 2 } = 10 } \end{array} \right.$$

Solve for z_1, v_1, v_2, z_2, V_2 (complex solution)

$$z_{1}=5$$

$$v_{1}=3$$

$$v_{2}=\frac{V_{2}+10}{3}$$

$$z_{2}=10$$

$$V_{2}\in \mathrm{C}$$

Solve for z_1, v_1, v_2, z_2, V_2

$$z_{1}=5$$

$$v_{1}=3$$

$$v_{2}=\frac{V_{2}+10}{3}$$

$$z_{2}=10$$

$$V_{2}\in \mathrm{R}$$