Solve A=Bexp(-c/Dvarepsilon)

$$A = B \exp ( \frac { - c } { D \varepsilon } )$$

Solve for B (complex solution)

$$\left\{\begin{matrix}B=-\frac{AD\epsilon }{ecpx}\text{, }&c\neq 0\text{ and }p\neq 0\text{ and }x\neq 0\text{ and }D\neq 0\text{ and }\epsilon \neq 0\\B\in \mathrm{C}\text{, }&\left(c=0\text{ or }p=0\text{ or }x=0\right)\text{ and }A=0\text{ and }D\neq 0\text{ and }\epsilon \neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by D\epsilon .

$$AD\epsilon =Bexp\left(-c\right)$$

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

$$Bexp\left(-c\right)=AD\epsilon$$

Reorder the terms.

$$-eBcpx=AD\epsilon$$

The equation is in standard form.

$$\left(-ecpx\right)B=AD\epsilon$$

Divide both sides by -ecpx.

$$\frac{\left(-ecpx\right)B}{-ecpx}=\frac{AD\epsilon }{-ecpx}$$

Dividing by -ecpx undoes the multiplication by -ecpx.

$$B=\frac{AD\epsilon }{-ecpx}$$

Divide AD\epsilon by -ecpx.

$$B=-\frac{AD\epsilon }{ecpx}$$

Solve for B

$$\left\{\begin{matrix}B=-\frac{AD\epsilon }{ecpx}\text{, }&c\neq 0\text{ and }p\neq 0\text{ and }x\neq 0\text{ and }D\neq 0\text{ and }\epsilon \neq 0\\B\in \mathrm{R}\text{, }&\left(c=0\text{ or }p=0\text{ or }x=0\right)\text{ and }A=0\text{ and }D\neq 0\text{ and }\epsilon \neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by D\epsilon .

$$AD\epsilon =Bexp\left(-c\right)$$

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

$$Bexp\left(-c\right)=AD\epsilon$$

Reorder the terms.

$$-eBcpx=AD\epsilon$$

The equation is in standard form.

$$\left(-ecpx\right)B=AD\epsilon$$

Divide both sides by -ecpx.

$$\frac{\left(-ecpx\right)B}{-ecpx}=\frac{AD\epsilon }{-ecpx}$$

Dividing by -ecpx undoes the multiplication by -ecpx.

$$B=\frac{AD\epsilon }{-ecpx}$$

Divide AD\epsilon by -ecpx.

$$B=-\frac{AD\epsilon }{ecpx}$$

Solve for A (complex solution)

$$A=-\frac{eBcpx}{D\epsilon }$$

$$D\neq 0\text{ and }\epsilon \neq 0$$

Solve for A

$$A=-\frac{eBcpx}{D\epsilon }$$

$$\epsilon \neq 0\text{ and }D\neq 0$$