Solve frac{8p_{3}}{3p_{2}}=x

$$\frac { 8 p _ { 3 } } { 3 p _ { 2 } } = x$$

Solve for p_2

$$\left\{\begin{matrix}p_{2}=\frac{8p_{3}}{3x}\text{, }&p_{3}\neq 0\text{ and }x\neq 0\\p_{2}\neq 0\text{, }&x=0\text{ and }p_{3}=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable p_{2} cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3p_{2}.

$$8p_{3}=x\times 3p_{2}$$

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

$$x\times 3p_{2}=8p_{3}$$

The equation is in standard form.

$$3xp_{2}=8p_{3}$$

Divide both sides by 3x.

$$\frac{3xp_{2}}{3x}=\frac{8p_{3}}{3x}$$

Dividing by 3x undoes the multiplication by 3x.

$$p_{2}=\frac{8p_{3}}{3x}$$

Variable p_{2} cannot be equal to 0.

$$p_{2}=\frac{8p_{3}}{3x}\text{, }p_{2}\neq 0$$

Solve for p_3

$$p_{3}=\frac{3p_{2}x}{8}$$

$$p_{2}\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3p_{2}.

$$8p_{3}=x\times 3p_{2}$$

Reorder the terms.

$$8p_{3}=3p_{2}x$$

Divide both sides by 8.

$$\frac{8p_{3}}{8}=\frac{3p_{2}x}{8}$$

Dividing by 8 undoes the multiplication by 8.

$$p_{3}=\frac{3p_{2}x}{8}$$