Rearrangement Examples

1. Make L the subject of the Pendulum formula:

   

   Operations required for calculating T from L:

   

   Reversing the above (Click on the question marks to view the inverse operations):

   
   
   
   
   
   
   
   

2. Make x the subject of the formula:

   

   Expanding and simplifying:
   
   

   Operations required for calculating the LHS from x:

   

   Reversing the above (Click on the question marks to view the inverse operations):

   
   
   
   
   
   
   
   

3. Make x the subject of the formula:

   
   
   Expanding the RHS:

   
   
   Subtracting bx from both sides and simplifying:

   
   
   Subtracting 2 from both sides and simplifying:

   
   
   Factorizing the LHS for x:

   

   Dividing both sides by (a - b) and simplifying:

   

   Simplifying, we get

   
   
   
   
   
   
   
   

4. Make x the subject of the formula:

   

   Operations required for calculating y from x:

   

   Reversing the above (Click on the question marks to view the inverse operations):

   
   
   
   
   
   
   
   

5. Make r the subject of the formula:

   , where r>0.

   Operations required for calculating F from r:

   

   Reversing the above (Click on the question marks to view the inverse operations):

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