Question 1081449
{{{(2x-3)(x+1)=-1}}}
{{{2x^2+2x-3x-3=-1}}}
{{{2x^2-x-3=-1}}}
{{{2x^2-x-2=0}}}
Complete the square,
{{{2(x^2-x/2)-2=0}}}
{{{2(x^2-x/2+(1/4)^2)-2=2(1/4)^2}}}
{{{2(x-1/4)^2=1/8+16/8}}}
{{{2(x-1/4)^2=17/8}}}
{{{(x-1/4)^2=17/16}}}
{{{x-1/4=0 +- sqrt(17)/4}}}
{{{x=1/4 +- sqrt(17)/4}}}
{{{highlight_green(x=(1 +- sqrt(17))/4)}}}