Question 889756
{{{2x^2/(4x)^(1/3)=(2/4^(1/3))x^(2-(1/3))}}}
{{{2x^2/(4x)^(1/3)=(8^(1/3)/4^(1/3))x^(6/3-(1/3))}}}
{{{2x^2/(4x)^(1/3)=(2^(1/3))x^(5/3))}}}
{{{2x^2/(4x)^(1/3)=(2^(1/3))x^(5/3)}}}
{{{2x^2/(4x)^(1/3)=2^(1/3)x^(3/3)x^(2/3)}}}
{{{highlight(2x^2/(4x)^(1/3)=x*(2x^2)^(1/3))}}}
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Find the common denominator, {{{x^2-x-6=(x-3)(x+2)}}}
{{{x/(x^2-x-6))-(2(x+2))/((x-3)(x+2))=(3(x-3)(x+2))/((x-3)(x+2))}}}
{{{(x-2x-4)/(x-3)(x+2)=(3x^2-3x-18)/((x-3)(x+2))}}}
{{{(3x^2+2x-14)/((x-3)(x+2))=0}}}
Find when the numerator equals zero.
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} 
{{{x = (-2 +- sqrt( 2^2-4*3*(-14) ))/(2*3) }}} 
{{{x = (-2 +- sqrt( 4-4*3*(-14) ))/(6) }}} 
{{{x = (-2 +- 2*sqrt( 1+42 ))/(6) }}}
{{{x = (-2 +- 2*sqrt( 43 ))/6}}}
{{{highlight(x = (-1 +- sqrt( 43 ))/3 )}}}