# How do you simplify and restricted value of 5/(7z+5)?

Oct 10, 2017

$z \ne - \frac{5}{7}$

#### Explanation:

$\text{since neither the numerator nor denominator can be}$
$\text{factored then fraction is described in simplest form}$

$\Rightarrow \frac{5}{7 z + 5} \leftarrow \textcolor{b l u e}{\text{ is in simplest form}}$

The denominator cannot be zero as this would make the fraction undefined. Equating the denominator to zero and solving gives the value that z cannot be.

$\text{solve "7z+5=0rArrz=-5/7larrcolor(red)" restricted value}$