Answer
$x= 2.535, .1315$
Work Step by Step
$3x^2-8x=-1$
$3x^2-8x+1=-1+1$
$3x^2-8x+1=0$
$x= (-b±\sqrt {b^2-4ac})/2a$
$x= (-(-8)±\sqrt {(-8)^2-4*3*1})/2*3$
$x= (8±\sqrt {64-12})/6$
$x= (8±\sqrt {52})/6$
$x= (8±7.211)/6$
$x= (8+7.211)/6$
$x= 15.211/6 = 2.535$
$x= (8-7.211)/6$
$x= .789/6 = .1315