Solving for a varible

Question

R(r1+r2)=r1r2 solve for r2

Answer 1

                    R ( r₁ + r₂ ) = r₁r₂

 

               multiply out the left side

 

                      Rr₁ + Rr₂  =  r₁r₂

 

Collect the r₂'s on the same side of equation

 

                               Rr₁ = r₁r₂ -Rr₂

 

                            Factor out the r₂

 

                              Rr₁ = r₂ ( r₁ - R )

 

               Divide both sides by ( r₁ - R )

 

            Rr₁ / ( r₁ - R ) = r₂

Answer 2

R(r₁ + r₂) = r₁r₂

Rr₁ + Rr₂ = r₁r₂        distribute

Rr₁ = r₁r₂ - Rr₂          subtract Rr₂ from both sides

Rr₁ = r₂(r₁ - R)         factor out r₂

Rr₁ / (r₁ - R) = r₂      divide both sides by (r₁ - R)