Solve bx/a=c

$$\frac { b x } { a } = c$$

Solve for b (complex solution)

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

Steps for Solving Linear Equation

Multiply both sides of the equation by a.

$$bx=ca$$

The equation is in standard form.

$$xb=ac$$

Divide both sides by x.

$$\frac{xb}{x}=\frac{ac}{x}$$

Dividing by x undoes the multiplication by x.

$$b=\frac{ac}{x}$$

Solve for a

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

Steps for Solving Linear Equation

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

$$bx=ca$$

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

$$ca=bx$$

Divide both sides by c.

$$\frac{ca}{c}=\frac{bx}{c}$$

Dividing by c undoes the multiplication by c.

$$a=\frac{bx}{c}$$

Variable a cannot be equal to 0.

$$a=\frac{bx}{c}\text{, }a\neq 0$$

Solve for b

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

Steps for Solving Linear Equation

Multiply both sides of the equation by a.

$$bx=ca$$

The equation is in standard form.

$$xb=ac$$

Divide both sides by x.

$$\frac{xb}{x}=\frac{ac}{x}$$

Dividing by x undoes the multiplication by x.

$$b=\frac{ac}{x}$$