# How do you solve (x + 7) ( 2x + 7) = 0?

Nov 21, 2017

$x = - 7$ and $x = - \frac{7}{2}$

#### Explanation:

$\left(x + 7\right) \left(2 x + 7\right) = 0$

We set each of the things inside the parentheses to 0, like this:

$x + 7 = 0$ and $2 x + 7 = 0$ and solve for each of them:

$x = - 7$ and $2 x = - 7$

$x = - 7$ and $x = - \frac{7}{2}$

Nov 21, 2017

$x = - 7 \text{ or } x = - \frac{7}{2}$

#### Explanation:

$\text{the equation is given in factored form hence}$

$\text{equate each of the factors to zero and solve for x}$

$x + 7 = 0 \Rightarrow x = - 7$

$2 x + 7 = 0 \Rightarrow x = - \frac{7}{2}$