Solve 4.2km=xm

$$4.2 k m = x m$$

Solve for k (complex solution)

$$\left\{\begin{matrix}\\k=\frac{5x}{21}\text{, }&\text{unconditionally}\\k\in \mathrm{C}\text{, }&m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\frac{21m}{5}k=mx$$

Divide both sides by 4.2m.

$$\frac{5\times \frac{21m}{5}k}{21m}=\frac{5mx}{21m}$$

Dividing by 4.2m undoes the multiplication by 4.2m.

$$k=\frac{5mx}{21m}$$

Divide xm by 4.2m.

$$k=\frac{5x}{21}$$

Solve for m (complex solution)

$$\left\{\begin{matrix}\\m=0\text{, }&\text{unconditionally}\\m\in \mathrm{C}\text{, }&k=\frac{5x}{21}\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract xm from both sides.

$$4.2km-xm=0$$

Combine all terms containing m.

$$\left(4.2k-x\right)m=0$$

The equation is in standard form.

$$\left(\frac{21k}{5}-x\right)m=0$$

Divide 0 by 4.2k-x.

$$m=0$$

Solve for k

$$\left\{\begin{matrix}\\k=\frac{5x}{21}\text{, }&\text{unconditionally}\\k\in \mathrm{R}\text{, }&m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\frac{21m}{5}k=mx$$

Divide both sides by 4.2m.

$$\frac{5\times \frac{21m}{5}k}{21m}=\frac{5mx}{21m}$$

Dividing by 4.2m undoes the multiplication by 4.2m.

$$k=\frac{5mx}{21m}$$

Divide xm by 4.2m.

$$k=\frac{5x}{21}$$

Solve for m

$$\left\{\begin{matrix}\\m=0\text{, }&\text{unconditionally}\\m\in \mathrm{R}\text{, }&k=\frac{5x}{21}\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract xm from both sides.

$$4.2km-xm=0$$

Combine all terms containing m.

$$\left(4.2k-x\right)m=0$$

The equation is in standard form.

$$\left(\frac{21k}{5}-x\right)m=0$$

Divide 0 by 4.2k-x.

$$m=0$$