# How do you simplify and find the restrictions for (2x^2-4x )/(3x)?

Jun 6, 2017

See a solution process below:

#### Explanation:

First, we can rewrite this expression as:

$\frac{2 {x}^{2}}{3 x} - \frac{4 x}{3 x} \implies \frac{2 \cdot x \cdot x}{3 x} - \frac{4 \textcolor{red}{\cancel{\textcolor{b l a c k}{x}}}}{3 \textcolor{red}{\cancel{\textcolor{b l a c k}{x}}}} \implies$

$\frac{2 \cdot \textcolor{red}{\cancel{\textcolor{b l a c k}{x}}} \cdot x}{3 \textcolor{red}{\cancel{\textcolor{b l a c k}{x}}}} - \frac{4}{3} \implies$

$\frac{2 x}{3} - \frac{4}{3}$

Where

$3 x \ne 0$ or $x \ne 0$