Question 305522
{{{1/(4+x)+1/(2-x)=(3/4)}}} multiply everything by {{{((4+x)(2-x))}}}
{{{(4+x)(2-x)(1/(4+x))+(4+x)(2-x)(1/(2-x))=(4+x)(2-x)(3/4)}}}cancel the appropiate groups
{{{cross(4+x)(2-x)(1/cross(4+x))+(4+x)cross(2-x)(1/cross(2-x))=(4+x)(2-x)(3/4)}}}
{{{(2-x)(1))+(4+x)(1)=(4+x)(2-x)(3/4)}}}multiply everything by 4 to get rid of the fraction
{{{(2-x)(4))+(4+x)(4)=(4+x)(2-x)(3/4)(4)}}}
{{{(8-4x)+(16+4x)=(4+x)(2-x)(3/cross(4))cross(4)}}}
{{{(8-4x)+(16+4x)=(4+x)(2-x)(3)}}}
{{{(8-4x)+(16+4x)=(4+x)(6-3x)}}}foil
{{{(8-4x)+(16+4x)=(24+6x-12x-3x^2)}}}add like terms on left side
{{{24=24+6x-12x-3x^2}}} subtract 24
{{{0=-6x-3x^2}}}rewrite the equation
{{{-3x^2-6x=0}}}
{{{-3x(x+2)=0}}}
{{{-3x=0}}}{{{x+2=0}}}
{{{x=0}}},{{{-2}}}