Solve x=ab-4

$$x = a b - 4$$

Solve for a (complex solution)

$$\left\{\begin{matrix}a=\frac{x+4}{b}\text{, }&b\neq 0\\a\in \mathrm{C}\text{, }&x=-4\text{ and }b=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$ab-4=x$$

Add 4 to both sides.

$$ab=x+4$$

The equation is in standard form.

$$ba=x+4$$

Divide both sides by b.

$$\frac{ba}{b}=\frac{x+4}{b}$$

Dividing by b undoes the multiplication by b.

$$a=\frac{x+4}{b}$$

Solve for b (complex solution)

$$\left\{\begin{matrix}b=\frac{x+4}{a}\text{, }&a\neq 0\\b\in \mathrm{C}\text{, }&x=-4\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$ab-4=x$$

Add 4 to both sides.

$$ab=x+4$$

Divide both sides by a.

$$\frac{ab}{a}=\frac{x+4}{a}$$

Dividing by a undoes the multiplication by a.

$$b=\frac{x+4}{a}$$

Solve for a

$$\left\{\begin{matrix}a=\frac{x+4}{b}\text{, }&b\neq 0\\a\in \mathrm{R}\text{, }&x=-4\text{ and }b=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$ab-4=x$$

Add 4 to both sides.

$$ab=x+4$$

The equation is in standard form.

$$ba=x+4$$

Divide both sides by b.

$$\frac{ba}{b}=\frac{x+4}{b}$$

Dividing by b undoes the multiplication by b.

$$a=\frac{x+4}{b}$$

Solve for b

$$\left\{\begin{matrix}b=\frac{x+4}{a}\text{, }&a\neq 0\\b\in \mathrm{R}\text{, }&x=-4\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$ab-4=x$$

Add 4 to both sides.

$$ab=x+4$$

Divide both sides by a.

$$\frac{ab}{a}=\frac{x+4}{a}$$

Dividing by a undoes the multiplication by a.

$$b=\frac{x+4}{a}$$