Solve axdivb=c

$$a x \div b = c$$

Solve for a (complex solution)

$$\left\{\begin{matrix}a=\frac{bc}{x}\text{, }&x\neq 0\text{ and }b\neq 0\\a\in \mathrm{C}\text{, }&c=0\text{ and }x=0\text{ and }b\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by b.

$$ax=cb$$

The equation is in standard form.

$$xa=bc$$

Divide both sides by x.

$$\frac{xa}{x}=\frac{bc}{x}$$

Dividing by x undoes the multiplication by x.

$$a=\frac{bc}{x}$$

Solve for a

$$\left\{\begin{matrix}a=\frac{bc}{x}\text{, }&x\neq 0\text{ and }b\neq 0\\a\in \mathrm{R}\text{, }&c=0\text{ and }x=0\text{ and }b\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by b.

$$ax=cb$$

The equation is in standard form.

$$xa=bc$$

Divide both sides by x.

$$\frac{xa}{x}=\frac{bc}{x}$$

Dividing by x undoes the multiplication by x.

$$a=\frac{bc}{x}$$

Solve for b

$$\left\{\begin{matrix}b=\frac{ax}{c}\text{, }&x\neq 0\text{ and }a\neq 0\text{ and }c\neq 0\\b\neq 0\text{, }&\left(x=0\text{ or }a=0\right)\text{ and }c=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable b cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by b.

$$ax=cb$$

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

$$cb=ax$$

Divide both sides by c.

$$\frac{cb}{c}=\frac{ax}{c}$$

Dividing by c undoes the multiplication by c.

$$b=\frac{ax}{c}$$

Variable b cannot be equal to 0.

$$b=\frac{ax}{c}\text{, }b\neq 0$$