Question 1084490

{{{(x+3)/(x^2-2x-15) + (3x+1)/(2x+6) }}}....factor first


{{{(x+3)/(x^2+3x-5x-15) + (3x+1)/2(x+3) }}}


{{{(x+3)/((x^2+3x)-(5x+15)) + (3x+1)/2(x+3) }}}


{{{(x+3)/(x(x+3)-5(x+3)) + (3x+1)/2(x+3) }}}


{{{(x+3)/((x + 3)(x - 5)) + (3x+1)/2(x+3) }}}....common denominator


{{{2(x+3)/(2(x + 3)(x - 5)) + ((3x+1)(x - 5))/(2(x+3)(x - 5)) }}}


{{{(2(x+3) + (3x+1)(x - 5))/(2(x+3)(x - 5)) }}}

the sum of these rational expressions undefined if {{{(2(x+3)(x - 5))=0 }}}

{{{(2(x+3)(x - 5))=0 }}} if {{{(x+3)=0 }}} or if {{{(x - 5)=0 }}}

{{{(x+3)=0 }}} if {{{x=-3}}}

 {{{(x - 5)=0 }}} if {{{x=5}}}

answer:{{{-3}}},{{{5}}}