Question 43539
{{{(x/(x+1)) + 5/x = 1/(x^2 + x)}}}
{{{(x/(x+1)) + 5/x = 1/(x(x + 1))}}}
{{{(x(x+1))/(x+1) + (5(x+1))/x = (x+1)/(x(x + 1))}}}
{{{x + (5(x+1))/x = 1/x}}}
{{{xx + (5(x+1)x)/x = x/x}}}
{{{x^2 + 5(x+1) = 1}}}
{{{x^2 + 5x + 5 = 1}}}
{{{x^2 + 5x + 4 = 0}}}
{{{(x + 1)(x + 4) = 0}}}
{{{x = -1}}} and {{{x = -4}}}
Negative one can not work because dividing by zero makes the statement undefined.