# How do you simplify and find the excluded value of (4x-12)/(4x)?

May 29, 2017

See a solution process below:

#### Explanation:

First, this expression can be rewritten as:

$\frac{4 x}{4 x} - \frac{12}{4 x} \implies \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{4 x}}}}{\textcolor{red}{\cancel{\textcolor{b l a c k}{4 x}}}} - \frac{12}{4 x} \implies 1 - \frac{12}{4 x} \implies$

$1 - \frac{4 \times 3}{4 x} \implies 1 - \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{4}}} \times 3}{\textcolor{red}{\cancel{\textcolor{b l a c k}{4}}} x} \implies 1 - \frac{3}{x}$

Because you cannot divide by $0$ the excluded value is:

$4 x \ne 0$ or $x \ne 0$