# How do you solve (x + 2) ² = 2(11 + 2x)?

Apr 1, 2016

$x = \pm \sqrt{18}$

#### Explanation:

Given -

${\left(x + 2\right)}^{2} = 2 \left(11 + 2 x\right)$

Simplify

${x}^{2} + 4 x + 4 = 22 + 4 x$
Take all constants to right hand side and variables to the left hand side
${x}^{2} + 4 x - 4 x = 22 - 4$
Simpify
${x}^{2} = 18$
$x = \pm \sqrt{18}$