Question 322175

{{{6x^2+5x-4=0}}}
{{{6(x^2+(5/6)x)-4=0}}}
Take (1/2) of the x-coefficient and square it,
{{{6(x^2+(5/6)x+(25/144))-4-6(25/144)=0}}}
{{{6(x+5/12)^2-96/24-25/24=0}}}
{{{6(x+5/12)^2-96/24-25/24=0}}}
{{{6(x+5/12)^2-121/24=0}}}
{{{6(x+5/12)^2=121/24}}}
{{{(x+5/12)^2=121/144}}}
{{{x+5/12=0 +- 11/12}}}
{{{x=-5/12 +- 11/12}}}
{{{x=-16/12}}} and {{{x=6/12}}}
{{{highlight(x=-4/3)}}} and {{{highlight(x=1/2)}}}