Solve operatorname{par}f(x)=x/e^x-1

$$\operatorname { par } f ( x ) = \frac { x } { e ^ { x } - 1 }$$

Solve for a

$$a=\frac{1}{fpr\left(e^{x}-1\right)}$$

$$x\neq 0\text{ and }f\neq 0\text{ and }r\neq 0\text{ and }p\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$fprxa=\frac{x}{e^{x}-1}$$

Divide both sides by prfx.

$$\frac{fprxa}{fprx}=\frac{x}{\left(e^{x}-1\right)fprx}$$

Dividing by prfx undoes the multiplication by prfx.

$$a=\frac{x}{\left(e^{x}-1\right)fprx}$$

Divide \frac{x}{e^{x}-1} by prfx.

$$a=\frac{1}{fpr\left(e^{x}-1\right)}$$

Solve for f

$$f=\frac{1}{apr\left(e^{x}-1\right)}$$

$$x\neq 0\text{ and }r\neq 0\text{ and }a\neq 0\text{ and }p\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$aprxf=\frac{x}{e^{x}-1}$$

Divide both sides by parx.

$$\frac{aprxf}{aprx}=\frac{x}{\left(e^{x}-1\right)aprx}$$

Dividing by parx undoes the multiplication by parx.

$$f=\frac{x}{\left(e^{x}-1\right)aprx}$$

Divide \frac{x}{e^{x}-1} by parx.

$$f=\frac{1}{apr\left(e^{x}-1\right)}$$