Question 336235
{{{7/(3x+4)=x+1}}}
{{{(3x+4)(x+1)=7}}}
{{{3x^2+3x+4x+4=7}}}
{{{3x^2+7x-3=0}}}
Use the quadratic formula,
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
{{{x = (-7 +- sqrt( 7^2-4*3*(-3) ))/(2*3) }}}
{{{x = (-7 +- sqrt( 49+36 ))/(6) }}}
{{{highlight(x = (-7 +- sqrt( 85))/(6)) }}}