Solve θd/θd=θd/θd

$$\frac{ \theta d }{ \theta d } = \frac{ \theta d }{ \theta d }$$

Solve for d

$$d\neq 0$$

$$\theta \neq 0$$

Solution Steps

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

$$\theta d=\theta d$$

Subtract \theta d from both sides.

$$\theta d-\theta d=0$$

Combine \theta d and -\theta d to get 0.

$$0=0$$

Compare 0 and 0.

$$\text{true}$$

This is true for any d.

$$d\in \mathrm{R}$$

Variable d cannot be equal to 0.

$$d\in \mathrm{R}\setminus 0$$

Solve for θ

$$\theta \neq 0$$

$$d\neq 0$$

Solution Steps

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

$$\theta d=\theta d$$

Subtract \theta d from both sides.

$$\theta d-\theta d=0$$

Combine \theta d and -\theta d to get 0.

$$0=0$$

Compare 0 and 0.

$$\text{true}$$

This is true for any \theta .

$$\theta \in \mathrm{R}$$

Variable \theta cannot be equal to 0.

$$\theta \in \mathrm{R}\setminus 0$$