Solve DeltaE=h*f

$$\Delta E = h \cdot f$$

Solve for E (complex solution)

$$\left\{\begin{matrix}E=\frac{fh}{\Delta }\text{, }&\Delta \neq 0\\E\in \mathrm{C}\text{, }&\left(h=0\text{ or }f=0\right)\text{ and }\Delta =0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\Delta E=fh$$

Divide both sides by \Delta .

$$\frac{\Delta E}{\Delta }=\frac{fh}{\Delta }$$

Dividing by \Delta undoes the multiplication by \Delta .

$$E=\frac{fh}{\Delta }$$

Solve for f (complex solution)

$$\left\{\begin{matrix}f=\frac{E\Delta }{h}\text{, }&h\neq 0\\f\in \mathrm{C}\text{, }&\left(\Delta =0\text{ or }E=0\right)\text{ and }h=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$hf=\Delta E$$

The equation is in standard form.

$$hf=E\Delta$$

Divide both sides by h.

$$\frac{hf}{h}=\frac{E\Delta }{h}$$

Dividing by h undoes the multiplication by h.

$$f=\frac{E\Delta }{h}$$

Solve for E

$$\left\{\begin{matrix}E=\frac{fh}{\Delta }\text{, }&\Delta \neq 0\\E\in \mathrm{R}\text{, }&\left(h=0\text{ or }f=0\right)\text{ and }\Delta =0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\Delta E=fh$$

Divide both sides by \Delta .

$$\frac{\Delta E}{\Delta }=\frac{fh}{\Delta }$$

Dividing by \Delta undoes the multiplication by \Delta .

$$E=\frac{fh}{\Delta }$$

Solve for f

$$\left\{\begin{matrix}f=\frac{E\Delta }{h}\text{, }&h\neq 0\\f\in \mathrm{R}\text{, }&\left(\Delta =0\text{ or }E=0\right)\text{ and }h=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$hf=\Delta E$$

The equation is in standard form.

$$hf=E\Delta$$

Divide both sides by h.

$$\frac{hf}{h}=\frac{E\Delta }{h}$$

Dividing by h undoes the multiplication by h.

$$f=\frac{E\Delta }{h}$$