# How do you solve -2x^2 - 6x - 4 = 0?

Apr 25, 2018

$x = - 2 \text{ or } x = - 1$

#### Explanation:

$\text{take out a "color(blue)"common factor } - 2$

$\Rightarrow - 2 \left({x}^{2} + 3 x + 2\right) = 0$

$\text{the factors of + 2 which sum to + 3 are +1 and + 2}$

$\Rightarrow - 2 \left(x + 1\right) \left(x + 2\right) = 0$

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

$x + 2 = 0 \Rightarrow x = - 2$

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