# How do you simplify and restricted value of (3x + 6 )/( 5x + 10 )?

May 22, 2017

See explanation.

#### Explanation:

To find the restricted values we have to solve the equation:

$5 x + 10 = 0$

$5 x = - 10$

$x = - 2$

Now we can simplify the expression:

$\frac{3 x + 6}{5 x + 10} = \frac{3 \left(x + 2\right)}{5 \left(x + 2\right)} = \frac{3}{5}$

Answer:

The value of this expression is $\frac{3}{5}$. The domain of this expression is $\mathbb{R} - \left\{- 2\right\}$.