Solve x=V_{0}t+x_{0}

$$x = V _ { 0 } t + x _ { 0 }$$

Solve for V_0 (complex solution)

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

Steps for Solving Linear Equation

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

$$V_{0}t+x_{0}=x$$

Subtract x_{0} from both sides.

$$V_{0}t=x-x_{0}$$

The equation is in standard form.

$$tV_{0}=x-x_{0}$$

Divide both sides by t.

$$\frac{tV_{0}}{t}=\frac{x-x_{0}}{t}$$

Dividing by t undoes the multiplication by t.

$$V_{0}=\frac{x-x_{0}}{t}$$

Solve for t (complex solution)

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

Steps for Solving Linear Equation

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

$$V_{0}t+x_{0}=x$$

Subtract x_{0} from both sides.

$$V_{0}t=x-x_{0}$$

Divide both sides by V_{0}.

$$\frac{V_{0}t}{V_{0}}=\frac{x-x_{0}}{V_{0}}$$

Dividing by V_{0} undoes the multiplication by V_{0}.

$$t=\frac{x-x_{0}}{V_{0}}$$

Solve for V_0

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

Steps for Solving Linear Equation

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

$$V_{0}t+x_{0}=x$$

Subtract x_{0} from both sides.

$$V_{0}t=x-x_{0}$$

The equation is in standard form.

$$tV_{0}=x-x_{0}$$

Divide both sides by t.

$$\frac{tV_{0}}{t}=\frac{x-x_{0}}{t}$$

Dividing by t undoes the multiplication by t.

$$V_{0}=\frac{x-x_{0}}{t}$$

Solve for t

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

Steps for Solving Linear Equation

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

$$V_{0}t+x_{0}=x$$

Subtract x_{0} from both sides.

$$V_{0}t=x-x_{0}$$

Divide both sides by V_{0}.

$$\frac{V_{0}t}{V_{0}}=\frac{x-x_{0}}{V_{0}}$$

Dividing by V_{0} undoes the multiplication by V_{0}.

$$t=\frac{x-x_{0}}{V_{0}}$$