Answer
$x = -8/7*\sqrt 7$, $x = 8/7*\sqrt 7$
Work Step by Step
$7/8 = 8/x^2$
$7*x^2=8*8$
$7x^2=64$
$7x^2/7=64/7$
$x^2=64/7$
$\sqrt {x^2} = \sqrt {64/7}$
$x = ±\sqrt {64} / \sqrt 7$
$x = ±8 / \sqrt 7$
$x = ±8*\sqrt 7 / \sqrt 7*\sqrt 7$
$x = ±8*\sqrt 7 / 7$
$x = ±8/7*\sqrt 7$