# How do you solve by factor 5x^2 + 20x + 20 = 0?

Mar 19, 2018

$x = - 2$

#### Explanation:

$\text{take out a "color(blue)"common factor 5}$

$\Rightarrow 5 \left({x}^{2} + 4 x + 4\right) = 0 \leftarrow \textcolor{b l u e}{\text{factor the quadratic}}$

$\text{the factors of + 4 which sum to + 4 are + 2 and + 2}$

$\Rightarrow 5 \left(x + 2\right) \left(x + 2\right) = 0$

$\Rightarrow 5 {\left(x + 2\right)}^{2} = 0$

$\Rightarrow x + 2 = 0$

$\Rightarrow x = - 2 \text{ is the solution}$