Solve xp_{b}=30(xp_{4})

$$x p _ { b } = 30 ( x p _ { 4 } )$$

Solve for p_4 (complex solution)

$$\left\{\begin{matrix}\\p_{4}=\frac{p_{b}}{30}\text{, }&\text{unconditionally}\\p_{4}\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$30xp_{4}=xp_{b}$$

The equation is in standard form.

$$30xp_{4}=p_{b}x$$

Divide both sides by 30x.

$$\frac{30xp_{4}}{30x}=\frac{p_{b}x}{30x}$$

Dividing by 30x undoes the multiplication by 30x.

$$p_{4}=\frac{p_{b}x}{30x}$$

Divide xp_{b} by 30x.

$$p_{4}=\frac{p_{b}}{30}$$

Solve for p_b (complex solution)

$$\left\{\begin{matrix}\\p_{b}=30p_{4}\text{, }&\text{unconditionally}\\p_{b}\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$xp_{b}=30p_{4}x$$

Divide both sides by x.

$$\frac{xp_{b}}{x}=\frac{30p_{4}x}{x}$$

Dividing by x undoes the multiplication by x.

$$p_{b}=\frac{30p_{4}x}{x}$$

Divide 30xp_{4} by x.

$$p_{b}=30p_{4}$$

Solve for p_4

$$\left\{\begin{matrix}\\p_{4}=\frac{p_{b}}{30}\text{, }&\text{unconditionally}\\p_{4}\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$30xp_{4}=xp_{b}$$

The equation is in standard form.

$$30xp_{4}=p_{b}x$$

Divide both sides by 30x.

$$\frac{30xp_{4}}{30x}=\frac{p_{b}x}{30x}$$

Dividing by 30x undoes the multiplication by 30x.

$$p_{4}=\frac{p_{b}x}{30x}$$

Divide xp_{b} by 30x.

$$p_{4}=\frac{p_{b}}{30}$$

Solve for p_b

$$\left\{\begin{matrix}\\p_{b}=30p_{4}\text{, }&\text{unconditionally}\\p_{b}\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$xp_{b}=30p_{4}x$$

Divide both sides by x.

$$\frac{xp_{b}}{x}=\frac{30p_{4}x}{x}$$

Dividing by x undoes the multiplication by x.

$$p_{b}=\frac{30p_{4}x}{x}$$

Divide 30xp_{4} by x.

$$p_{b}=30p_{4}$$