# How do you solve 3(x+1)^2=24?

Jul 13, 2017

$x = - 1 \pm 2 \sqrt{2}$

#### Explanation:

$3 {\left(x + 1\right)}^{2} = 24$
${\left(x + 1\right)}^{2} = 8$ $\to$ divide both sides by $3$
$x + 1 = \sqrt{8}$ $\to$ take the square root of both sides
$x + 1 = \pm 2 \sqrt{2}$ $\to$ simplify the left side
$x = - 1 \pm 2 \sqrt{2}$ $\to$ subtract $1$ from both sides

$x = - 1 \pm 2 \sqrt{2}$