Question 932617

{{{(2x+4)/(x+2) = 2x/3}}}


{{{3(2x+4) = 2x(x+2)}}}

{{{6x+12 = 2x^2+4x}}}

{{{0= 2x^2+4x-6x-12 }}}

{{{2x^2-2x-12 =0}}}...use quadratic formula

 {{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} 

 {{{x = (-(-2) +- sqrt( (-2)^2-4*2*(-12) ))/(2*2) }}} 

{{{x = (2 +- sqrt(4+96 ))/4 }}} 

{{{x = (2 +- sqrt(100))/4 }}}

{{{x = (2 +- 10)/4 }}}

solutions:

{{{x = (2 + 10)/4 }}}

{{{x = 12/4 }}}

{{{x =3 }}}

or

{{{x = (2 -10)/4 }}}

{{{x = -8/4 }}}

{{{x =-2 }}}


so, your answer is:

A. {{{3}}}, {{{-2}}}