Question 948929
{{{9x^2-18x=-3}}}
{{{9x^2-18x+3=0}}}
Complete the square.
{{{9(x^2-2x)+3=0}}}
{{{9(x^2-2x+1)+3=9(1)}}}
{{{9(x-1)^2=9-3}}}
{{{9(x-1)^2=6}}}
{{{3(x-1)=0 +- sqrt(6)}}}
{{{x-1=0 +- sqrt(6)/3}}}
{{{x=1 +- sqrt(6)/3}}}
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{{{2x^2+5x-8=0}}}
{{{2(x^2+(5/2)x)-8=0}}}
{{{2(x^2+(5/2)x+(5/4)^2)-8=2(5/4)^2}}}
{{{2(x+5/4)^2=25/8+8}}}
{{{2(x+5/4)^2=25/8+64/8}}}
{{{2(x+5/4)^2=89/8}}}
{{{(x+5/4)^2=89/16}}}
{{{x+5/4=0 +- sqrt(89)/4}}}
{{{x=-5/4 +- sqrt(89)/4}}}