Question 8493
Very easy:

{{{3x^2 - 8x = -2}}} Make a part c by adding 2 to both sides.

{{{3x^2 - 8x + 2 = 0}}} Since this doesn't factor, use the quadratic formula to solve.
{{{(-b+-sqrt(b^2-4ac))/2a}}} where: a = 3, b = -8, and c = 2

{{{x = (-(-8)+-sqrt((-8)^2-4*3*2))/(2*3)}}}

{{{x = (8+-sqrt(64-24))/6}}}

{{{x = (4/3)+-sqrt(40)/6}}}

{{{x = 4/3+-sqrt(10)/3}}}