Question 1207838
Not much outside of just the algebra steps solving for one variable in an equation.


{{{1/x=(1/a+1/b)}}}


on right side, simplest common denominator {{{ab}}}.


{{{1/x=b/(ab)+a/(ab)}}}


{{{1/x=(b+a)/(ab)}}}


and just recognize, the reciprocal of each side is what you are looking for.


{{{x=(ab)/(b+a)}}}


{{{x=(ab)/(a+b)}}}----------result.


Obviously if {{{a=-b}}} then, not allowed for a equal to negative b.