Question 321677
{{{x^2-36=(x-6)(x+6)}}} 
Use the common denominator, {{{x^2-36}}},
{{{36 /(x^2-36) + 8/(x+6) = 2/(x-6)}}}
{{{36/((x-6)(x+6)) + (8(x-6))/((x-6)(x+6)) = (2(x+6))/((x-6)(x+6))}}}
{{{36+8(x-6)-2(x+6)/((x-6)(x+6))=0}}}
The fraction can only equal zero if the numerator equals zero.
{{{36+8(x-6)-2(x+6)=0}}}
{{{36+8x-48-2x-12=0}}}
{{{6x-24=0}}}
{{{6x=24}}}
{{{highlight(x=4)}}}