Question 927348
{{{sqrt((x+2)*(x-6))=x-5}}}
squaring on both sides
 {{{(sqrt((x+2)*(x-6)))^2=(x-5)^2}}}
{{{(x+2)*(x-6)=(x-5)^2}}}
{{{x(x-6)+2(x-6) =(x-5)*(x-5)}}}
 {{{ x^2-6x+2x-12= x(x-5)-5(x-5)}}}
 {{{ x^2-4x-12 =x^2-5x-5x+25}}}
 {{{ x^2-4x-12 =x^2-10x+25}}}
 move x^2-10x+25  to the right 
 {{{x^2-4x-12 -x^2+10x-25=0}}}
 {{{6x-37=0}}}
   move -37 to the right
{{{ 6x= 37}}}
 divide with 6 on both sides
 {{{ 6x/6  = 37/6}}}
        {{{ x= 37/6}}}