Answer
{$\frac{-7-2\sqrt {11}}{4}, \frac{-7+2\sqrt {11}}{4}$}
Work Step by Step
$(4x+7)^2=44$
$4x+7=+\sqrt {44} or -\sqrt {44}=2\sqrt {11} or -2\sqrt {11}$
$4x = -7+2\sqrt {11} or -7-2\sqrt {11}$
x = {$\frac{-7-2\sqrt {11}}{4}, \frac{-7+2\sqrt {11}}{4}$}