Question 524211
{{{3x^2-8x+2=0}}}
{{{3x^2-8x+2=0}}}
Divide by 3 both sides
{{{3x^2/3-8x/3+2/3=0}}}
{{{x^2-8x/3+2/3=0}}}
{{{x^2-8x/3=-2/3}}}
{{{(x^2-(2)(1)(x)(4/3))=-2/3}}}
Add (4/3)^2 both sides
{{{(x^2-(2)(1)(x)(4/3)+(4/3)^2)=(-2/3+(4/3)^2)}}}
{{{(x-4/3)^2=(-2/3+16/9)}}}
{{{(x-4/3)^2=((-2*3)+16)/9)}}}
{{{(x-4/3)^2=((-6+16)/9)}}}
{{{(x-4/3)^2=10/9}}}
Take Square root both sides
{{{sqrt((x-4/3)^2)=sqrt(10/9)}}} 
{{{x-4/3=sqrt(10)/3}}} or {{{x-4/3=-sqrt(10)/3}}} 
{{{x=sqrt(10)/3+4/3}}} or {{{x=-sqrt(10)/3+4/3}}}
{{{x=(4+sqrt(10))/3}}} or {{{x=(4-sqrt(10))/3}}}