Solve Vf=H_{c}*D

$$V f = H _ { c } \times D$$

Solve for D (complex solution)

$$\left\{\begin{matrix}D=\frac{Vf}{H_{c}}\text{, }&H_{c}\neq 0\\D\in \mathrm{C}\text{, }&\left(V=0\text{ or }f=0\right)\text{ and }H_{c}=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$H_{c}D=Vf$$

Divide both sides by H_{c}.

$$\frac{H_{c}D}{H_{c}}=\frac{Vf}{H_{c}}$$

Dividing by H_{c} undoes the multiplication by H_{c}.

$$D=\frac{Vf}{H_{c}}$$

Solve for H_c (complex solution)

$$\left\{\begin{matrix}H_{c}=\frac{Vf}{D}\text{, }&D\neq 0\\H_{c}\in \mathrm{C}\text{, }&\left(V=0\text{ or }f=0\right)\text{ and }D=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$H_{c}D=Vf$$

The equation is in standard form.

$$DH_{c}=Vf$$

Divide both sides by D.

$$\frac{DH_{c}}{D}=\frac{Vf}{D}$$

Dividing by D undoes the multiplication by D.

$$H_{c}=\frac{Vf}{D}$$

Solve for D

$$\left\{\begin{matrix}D=\frac{Vf}{H_{c}}\text{, }&H_{c}\neq 0\\D\in \mathrm{R}\text{, }&\left(V=0\text{ or }f=0\right)\text{ and }H_{c}=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$H_{c}D=Vf$$

Divide both sides by H_{c}.

$$\frac{H_{c}D}{H_{c}}=\frac{Vf}{H_{c}}$$

Dividing by H_{c} undoes the multiplication by H_{c}.

$$D=\frac{Vf}{H_{c}}$$

Solve for H_c

$$\left\{\begin{matrix}H_{c}=\frac{Vf}{D}\text{, }&D\neq 0\\H_{c}\in \mathrm{R}\text{, }&\left(V=0\text{ or }f=0\right)\text{ and }D=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$H_{c}D=Vf$$

The equation is in standard form.

$$DH_{c}=Vf$$

Divide both sides by D.

$$\frac{DH_{c}}{D}=\frac{Vf}{D}$$

Dividing by D undoes the multiplication by D.

$$H_{c}=\frac{Vf}{D}$$