Question 176610
{{{1/x + 1/(x+5) = 3/4}}}
Multiply both sides by 4x(x+5) to get rid of denominators,

{{{1/x + 1/(x+5) = 3/4}}}
{{{4(x+5) + 4x= 3x(x+5)}}}
{{{4x+20+4x=3x^2+15x}}}
{{{8x+20=3x^2+15x}}}
{{{3x^2+7x-20=0}}}
{{{(3x-5)(x+4)=0}}}
Two solutions:
{{{3x-5=0}}}
{{{3x=5}}}
{{{highlight(x=5/3)}}}
.
.
.
{{{x+4=0}}}
{{{highlight(x=-4)}}}