# How do you solve (2w + 3) w = 35?

Apr 23, 2018

$w = - 5$

or

$w = \frac{7}{2}$

#### Explanation:

$\left(2 w + 3\right) w = 35$

Expanding and moving all terms to one side

$2 {w}^{2} + 3 w = 35$

$2 {w}^{2} + 3 w - 35 = 0$

Using cross multiply method;

$\left(2 w - 7\right) \left(w + 5\right) = 0$

From this, we can use the null factor law where one of the products would have to equal $0$ for this equation to be true, so;

$2 w - 7 = 0$

$2 w = 7$

$w = \frac{7}{2}$

or

$w + 5 = 0$

$w = - 5$