Answer
$x= 1.22, -.94$
Work Step by Step
$7x^2-2x=8$
$7x^2-2x-8=8-8$
$7x^2-2x-8=0$
$x = (-b)±\sqrt {(b^2-4*a*c})/2*a$
$x = (-(-2)±\sqrt {(-2)^2-4*7*-8})/2*7$
$x = (2±\sqrt {4+224})/14$
$x = (2±\sqrt {228})/14$
$x = (2+15.099)/14$ or $x = (2-15.099)/14$
$x = (2+15.099)/14$
$x = 17.099/14 = 1.22$
$x = (2-15.099)/14$
$x = -13.099/14 = -.94$