Solve sdivx*t/1=tdivvarepsilon

$$s \div x * t / 1 = t \div \varepsilon$$

Solve for s (complex solution)

$$\left\{\begin{matrix}s=\frac{x}{\epsilon }\text{, }&x\neq 0\text{ and }\epsilon \neq 0\\s\in \mathrm{C}\text{, }&t=0\text{ and }\epsilon \neq 0\text{ and }x\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by \epsilon .

$$\epsilon \times \frac{s}{x}t=t$$

Express \epsilon \times \frac{s}{x} as a single fraction.

$$\frac{\epsilon s}{x}t=t$$

Express \frac{\epsilon s}{x}t as a single fraction.

$$\frac{\epsilon st}{x}=t$$

Multiply both sides of the equation by x.

$$\epsilon st=tx$$

The equation is in standard form.

$$t\epsilon s=tx$$

Divide both sides by \epsilon t.

$$\frac{t\epsilon s}{t\epsilon }=\frac{tx}{t\epsilon }$$

Dividing by \epsilon t undoes the multiplication by \epsilon t.

$$s=\frac{tx}{t\epsilon }$$

Divide tx by \epsilon t.

$$s=\frac{x}{\epsilon }$$

Solve for t (complex solution)

$$\left\{\begin{matrix}t=0\text{, }&x\neq 0\text{ and }\epsilon \neq 0\\t\in \mathrm{C}\text{, }&s\epsilon \neq 0\text{ and }x=s\epsilon \end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by \epsilon .

$$\epsilon \times \frac{s}{x}t=t$$

Express \epsilon \times \frac{s}{x} as a single fraction.

$$\frac{\epsilon s}{x}t=t$$

Express \frac{\epsilon s}{x}t as a single fraction.

$$\frac{\epsilon st}{x}=t$$

Subtract t from both sides.

$$\frac{\epsilon st}{x}-t=0$$

To add or subtract expressions, expand them to make their denominators the same. Multiply t times \frac{x}{x}.

$$\frac{\epsilon st}{x}-\frac{tx}{x}=0$$

Since \frac{\epsilon st}{x} and \frac{tx}{x} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\epsilon st-tx}{x}=0$$

Multiply both sides of the equation by x.

$$\epsilon st-tx=0$$

Combine all terms containing t.

$$\left(\epsilon s-x\right)t=0$$

The equation is in standard form.

$$\left(s\epsilon -x\right)t=0$$

Divide 0 by s\epsilon -x.

$$t=0$$

Solve for s

$$\left\{\begin{matrix}s=\frac{x}{\epsilon }\text{, }&x\neq 0\text{ and }\epsilon \neq 0\\s\in \mathrm{R}\text{, }&t=0\text{ and }\epsilon \neq 0\text{ and }x\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by \epsilon .

$$\epsilon \times \frac{s}{x}t=t$$

Express \epsilon \times \frac{s}{x} as a single fraction.

$$\frac{\epsilon s}{x}t=t$$

Express \frac{\epsilon s}{x}t as a single fraction.

$$\frac{\epsilon st}{x}=t$$

Multiply both sides of the equation by x.

$$\epsilon st=tx$$

The equation is in standard form.

$$t\epsilon s=tx$$

Divide both sides by \epsilon t.

$$\frac{t\epsilon s}{t\epsilon }=\frac{tx}{t\epsilon }$$

Dividing by \epsilon t undoes the multiplication by \epsilon t.

$$s=\frac{tx}{t\epsilon }$$

Divide tx by \epsilon t.

$$s=\frac{x}{\epsilon }$$

Solve for t

$$\left\{\begin{matrix}t=0\text{, }&x\neq 0\text{ and }\epsilon \neq 0\\t\in \mathrm{R}\text{, }&s\epsilon \neq 0\text{ and }x=s\epsilon \end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by \epsilon .

$$\epsilon \times \frac{s}{x}t=t$$

Express \epsilon \times \frac{s}{x} as a single fraction.

$$\frac{\epsilon s}{x}t=t$$

Express \frac{\epsilon s}{x}t as a single fraction.

$$\frac{\epsilon st}{x}=t$$

Subtract t from both sides.

$$\frac{\epsilon st}{x}-t=0$$

To add or subtract expressions, expand them to make their denominators the same. Multiply t times \frac{x}{x}.

$$\frac{\epsilon st}{x}-\frac{tx}{x}=0$$

Since \frac{\epsilon st}{x} and \frac{tx}{x} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\epsilon st-tx}{x}=0$$

Multiply both sides of the equation by x.

$$\epsilon st-tx=0$$

Combine all terms containing t.

$$\left(\epsilon s-x\right)t=0$$

The equation is in standard form.

$$\left(s\epsilon -x\right)t=0$$

Divide 0 by s\epsilon -x.

$$t=0$$