Solve dx=(z)d(3x)

$$d x = ( z ) d ( 3 x )$$

Solve for d

$$\left\{\begin{matrix}\\d=0\text{, }&\text{unconditionally}\\d\in \mathrm{R}\text{, }&z=\frac{1}{3}\text{ or }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract zd\times 3x from both sides.

$$dx-zd\times 3x=0$$

Multiply -1 and 3 to get -3.

$$dx-3zdx=0$$

Combine all terms containing d.

$$\left(x-3zx\right)d=0$$

The equation is in standard form.

$$\left(x-3xz\right)d=0$$

Divide 0 by x-3zx.

$$d=0$$

Solve for x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&z=\frac{1}{3}\text{ or }d=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract zd\times 3x from both sides.

$$dx-zd\times 3x=0$$

Multiply -1 and 3 to get -3.

$$dx-3zdx=0$$

Combine all terms containing x.

$$\left(d-3zd\right)x=0$$

The equation is in standard form.

$$\left(d-3dz\right)x=0$$

Divide 0 by d-3zd.

$$x=0$$