Question 536550
{{{(2x-1)/(4x+1)=(x+1)/(2x-1)}}} Start with the given equation.



{{{(2x-1)(2x-1)=(x+1)(4x+1)}}} Cross multiply



{{{4x^2-4x+1=4x^2+5x+1}}} FOIL



{{{4x^2-4x+1-4x^2-5x-1=0}}} Get every term to the left side.



{{{-9x=0}}} Combine like terms.



{{{x=0/(-9)}}} Divide both sides by -9 to isolate x.



{{{x=0}}} Divide



So the solution is {{{x=0}}}