Question 208309
Assume the problem is:
{{{((x-2))/((x+1))}}} = {{{((x+1))/((x-2))}}}
cross multiply, results
(x-2)*(x-2) = (x+1)*(x+1)
FOIL
x^2 - 4x + 4 = x^2 + 2x + 1
Combine the x's on the left, numbers on the right
x^2 - x^2 - 4x - 2x = 1 - 4
-6x = -3
x = +{{{3/6}}}
x = +.5
;
:
Check solution in original equation:
{{{((.5-2))/((.5+1))}}} = {{{((.5+1))/((.5-2))}}}