Solve 12ax^2/4ax=3ax^2/ax=

$$\frac { 12 a x ^ { 2 } } { 4 a x } = \frac { 3 a x ^ { 2 } } { a x } =$$

Solve for a

$$a\neq 0$$

$$x\neq 0$$

Solution Steps

Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4ax, the least common multiple of 4ax,ax.

$$12ax^{2}=4\times 3ax^{2}$$

Multiply 4 and 3 to get 12.

$$12ax^{2}=12ax^{2}$$

Subtract 12ax^{2} from both sides.

$$12ax^{2}-12ax^{2}=0$$

Combine 12ax^{2} and -12ax^{2} to get 0.

$$0=0$$

Compare 0 and 0.

$$\text{true}$$

This is true for any a.

$$a\in \mathrm{R}$$

Variable a cannot be equal to 0.

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

Solve for x

$$x\neq 0$$

$$a\neq 0$$

Solution Steps

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4ax, the least common multiple of 4ax,ax.

$$12ax^{2}=4\times 3ax^{2}$$

Multiply 4 and 3 to get 12.

$$12ax^{2}=12ax^{2}$$

Subtract 12ax^{2} from both sides.

$$12ax^{2}-12ax^{2}=0$$

Combine 12ax^{2} and -12ax^{2} to get 0.

$$0=0$$

Compare 0 and 0.

$$\text{true}$$

This is true for any x.

$$x\in \mathrm{R}$$

Variable x cannot be equal to 0.

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