Question 970039
{{{3/(x-7)+4/(x+2)=1}}}

Multiply by {{{(x-7)(x+2)}}}

{{{3(x+2) +4(x-7)= (x-7)(x+2)}}}

Expand...

{{{3x+6+4x-28 = x^2-5x-14}}}

{{{7x-22= x^2-5x-14}}}

{{{x^2-2x-8=0}}} Okay! We have simplified it.

{{{x = (2 +-sqrt( 2^2-4*1*(-8) ))/(2*1) }}}

{{{x = 2/2+-sqrt( 44 )/2}}}

{{{x = 1 +- sqrt(11)}}}

{{{x = x = 1 + sqrt(11)}}} or {{{x = 1 - sqrt(11)}}}