# How do you solve the equation and express in simplest radical form for (4x+3)^2=7?

Jun 20, 2018

color(green)(x = (-3 +- sqrt7)/4

#### Explanation:

${\left(4 x + 3\right)}^{2} = 7$

${\left(4 x + 3\right)}^{2} = {\left(\sqrt{7}\right)}^{2}$

$4 x + 3 = \pm \sqrt{7}$

$4 x = - 3 \pm \sqrt{7}$

color(green)(x = (-3 +- sqrt7)/4