Solve V_{m}=frac{V_{u}+V_{f}}{d}

$$V _ { m } = \frac { V _ { u } + V _ { f } } { d }$$

Solve for V_f

$$V_{f}=V_{m}d-V_{u}$$

$$d\neq 0$$

Solution Steps

Multiply both sides of the equation by d.

$$V_{m}d=V_{u}+V_{f}$$

Swap sides so that all variable terms are on the left hand side.

$$V_{u}+V_{f}=V_{m}d$$

Subtract V_{u} from both sides.

$$V_{f}=V_{m}d-V_{u}$$

Solve for V_m

$$V_{m}=\frac{V_{f}+V_{u}}{d}$$

$$d\neq 0$$