# How do you factor 4y=x^2 + 8x + 15 ?

Aug 9, 2016

$y = \frac{\left(x + 5\right) \left(x + 3\right)}{4}$

#### Explanation:

$4 y = {x}^{2} + 8 x + 15$
or
$4 y = {x}^{2} + 5 x + 3 x + 15$
or
$4 y = x \left(x + 5\right) + 3 \left(x + 5\right)$
or
$4 y = \left(x + 5\right) \left(x + 3\right)$
or
$y = \frac{\left(x + 5\right) \left(x + 3\right)}{4}$