Solve Deltav=Deltax/Deltat

$$\Delta v = \frac { \Delta x } { \Delta t }$$

Solve for v (complex solution)

$$v=\frac{x}{t\Delta }$$

$$\Delta \neq 0\text{ and }t\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by t\Delta .

$$\Delta vt\Delta =\Delta x$$

Multiply \Delta and \Delta to get \Delta ^{2}.

$$\Delta ^{2}vt=\Delta x$$

The equation is in standard form.

$$t\Delta ^{2}v=x\Delta$$

Divide both sides by \Delta ^{2}t.

$$\frac{t\Delta ^{2}v}{t\Delta ^{2}}=\frac{x\Delta }{t\Delta ^{2}}$$

Dividing by \Delta ^{2}t undoes the multiplication by \Delta ^{2}t.

$$v=\frac{x\Delta }{t\Delta ^{2}}$$

Divide \Delta x by \Delta ^{2}t.

$$v=\frac{x}{t\Delta }$$

Solve for t

$$\left\{\begin{matrix}t=\frac{x}{v\Delta }\text{, }&x\neq 0\text{ and }v\neq 0\text{ and }\Delta \neq 0\\t\neq 0\text{, }&v=0\text{ and }x=0\text{ and }\Delta \neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable t cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by t\Delta .

$$\Delta vt\Delta =\Delta x$$

Multiply \Delta and \Delta to get \Delta ^{2}.

$$\Delta ^{2}vt=\Delta x$$

The equation is in standard form.

$$v\Delta ^{2}t=x\Delta$$

Divide both sides by \Delta ^{2}v.

$$\frac{v\Delta ^{2}t}{v\Delta ^{2}}=\frac{x\Delta }{v\Delta ^{2}}$$

Dividing by \Delta ^{2}v undoes the multiplication by \Delta ^{2}v.

$$t=\frac{x\Delta }{v\Delta ^{2}}$$

Divide \Delta x by \Delta ^{2}v.

$$t=\frac{x}{v\Delta }$$

Variable t cannot be equal to 0.

$$t=\frac{x}{v\Delta }\text{, }t\neq 0$$

Solve for v

$$v=\frac{x}{t\Delta }$$

$$t\neq 0\text{ and }\Delta \neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by t\Delta .

$$\Delta vt\Delta =\Delta x$$

Multiply \Delta and \Delta to get \Delta ^{2}.

$$\Delta ^{2}vt=\Delta x$$

The equation is in standard form.

$$t\Delta ^{2}v=x\Delta$$

Divide both sides by \Delta ^{2}t.

$$\frac{t\Delta ^{2}v}{t\Delta ^{2}}=\frac{x\Delta }{t\Delta ^{2}}$$

Dividing by \Delta ^{2}t undoes the multiplication by \Delta ^{2}t.

$$v=\frac{x\Delta }{t\Delta ^{2}}$$

Divide \Delta x by \Delta ^{2}t.

$$v=\frac{x}{t\Delta }$$