Solve uw=vxt

$$u w = v x t$$

Solve for t (complex solution)

$$\left\{\begin{matrix}t=\frac{uw}{vx}\text{, }&x\neq 0\text{ and }v\neq 0\\t\in \mathrm{C}\text{, }&\left(u=0\text{ and }x=0\right)\text{ or }\left(w=0\text{ and }x=0\right)\text{ or }\left(w=0\text{ and }v=0\text{ and }x\neq 0\right)\text{ or }\left(u=0\text{ and }v=0\text{ and }x\neq 0\right)\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$vxt=uw$$

Divide both sides by vx.

$$\frac{vxt}{vx}=\frac{uw}{vx}$$

Dividing by vx undoes the multiplication by vx.

$$t=\frac{uw}{vx}$$

Solve for u (complex solution)

$$\left\{\begin{matrix}u=\frac{tvx}{w}\text{, }&w\neq 0\\u\in \mathrm{C}\text{, }&\left(v=0\text{ or }x=0\text{ or }t=0\right)\text{ and }w=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$wu=tvx$$

Divide both sides by w.

$$\frac{wu}{w}=\frac{tvx}{w}$$

Dividing by w undoes the multiplication by w.

$$u=\frac{tvx}{w}$$

Solve for t

$$\left\{\begin{matrix}t=\frac{uw}{vx}\text{, }&x\neq 0\text{ and }v\neq 0\\t\in \mathrm{R}\text{, }&\left(u=0\text{ and }x=0\right)\text{ or }\left(w=0\text{ and }x=0\right)\text{ or }\left(w=0\text{ and }v=0\text{ and }x\neq 0\right)\text{ or }\left(u=0\text{ and }v=0\text{ and }x\neq 0\right)\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$vxt=uw$$

Divide both sides by vx.

$$\frac{vxt}{vx}=\frac{uw}{vx}$$

Dividing by vx undoes the multiplication by vx.

$$t=\frac{uw}{vx}$$

Solve for u

$$\left\{\begin{matrix}u=\frac{tvx}{w}\text{, }&w\neq 0\\u\in \mathrm{R}\text{, }&\left(v=0\text{ or }x=0\text{ or }t=0\right)\text{ and }w=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$wu=tvx$$

Divide both sides by w.

$$\frac{wu}{w}=\frac{tvx}{w}$$

Dividing by w undoes the multiplication by w.

$$u=\frac{tvx}{w}$$