Question 316437
{{{2x^2-2x=3}}}
{{{2x^2-2x-3=0}}}
{{{x^2-x-3/2=0}}}
Complete the square.
{{{x^2-x+1/4-3/2-1/4=0}}}
{{{(x-1/2)^2-6/4-1/4=0}}}
{{{(x-1/2)^2=7/4}}}
{{{x-1/2=0 +- sqrt(7)/2}}}
{{{highlight(x=1/2 +- sqrt(7)/2)}}}