# How do you solve by factoring and using the principle of zero products x^2 + 7x + 6 = 0?

Mar 2, 2018

$x = - 6 \text{ or } x = - 1$

#### Explanation:

$\text{using the a-c method}$

$\text{the factors of + 6 which sum to + 7 are + 6 and + 1}$

$\Rightarrow \left(x + 6\right) \left(x + 1\right) = 0$

$\text{equate each factor to zero and solve for x}$

$x + 6 = 0 \Rightarrow x = - 6$

$x + 1 = 0 \Rightarrow x = - 1$