Question 981678
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Let {{{sqrt(x)=y}}}
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{{{6x-7sqrt(x)-3=0}}} 
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{{{6sqrt(x)^2-7sqrt(x)-3=0}}} Substitute for {{{sqrt(x)}}}
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{{{6y^2-7y-3=0}}}
{{{6(y^2-(7/6)y-3/6)=0}}}
{{{6(y-3/2)(y+1/3)=0}}}
{{{y-3/2=0}}} OR {{{y+1/3=0}}}
{{{y=3/2}}} OR {{{y=-1/3}}} Substitute for y
{{{sqrt(x)=3/2}}} OR {{{sqrt(x)=-1/3}}} Square both sides of both equations.
{{{x=9/4}}} OR {{{x=1/9}}}