Question 1159696


{{{1-2/m=8/m^2}}}

{{{1=8/m^2+2/m}}}.....both sides multiply by {{{m^2}}}

{{{1m^2=8m^2/m^2+2m^2/m}}}

{{{m^2=8+2m}}}

{{{m^2-2m-8=0}}}........factor

{{{m^2-4m+2m-8=0}}}

{{{(m^2-4m)+(2m-8)=0}}}

{{{m(m-4)+2(m-4)=0}}}

{{{(m - 4)(m + 2) = 0}}}

solutions:

if {{{(m - 4)= 0}}}->{{{m=4}}}

if {{{(m + 2) = 0}}}->{{{m=-2}}}