# How do you solve 5w ^ { 2} + 28w = - 32?

Mar 10, 2018

w = - 4 or - 8/5

#### Explanation:

Given, $5 {w}^{2} + 28 w = - 32$
$\Rightarrow 5 {w}^{2} + 28 w + 32 = 0$
$\Rightarrow 5 {w}^{2} + \left(20 + 8\right) w + 32 = 0$
$\Rightarrow 5 {w}^{2} + 20 w + 8 w + 32 = 0$
$\Rightarrow 5 w \left(w + 4\right) + 8 \left(w + 4\right) = 0$
$\Rightarrow \left(w + 4\right) \left(5 w + 8\right) = 0$
$\Rightarrow \left(w + 4\right) = 0 , \left(5 w + 8\right) = 0$
$\Rightarrow w = - 4 , w = - \frac{8}{5}$
$\Rightarrow w = - 4 \mathmr{and} - \frac{8}{5}$