Solution - Linear equations with one unknown

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                     a/164363-10-(10)=0 

Step by step solution :

Step  1  :

               a  
 Simplify   ——————
            164363

Equation at the end of step  1  :

      a             
  (—————— -  10) -  10  = 0 
   164363           

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  164363  as the denominator :

          10     10 • 164363
    10 =  ——  =  ———————————
          1        164363   

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 2.2       Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 a - (10 • 164363)     a - 1643630
 —————————————————  =  ———————————
      164363             164363   

Equation at the end of step  2  :

  (a - 1643630)    
  ————————————— -  10  = 0 
     164363        

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  164363  as the denominator :

          10     10 • 164363
    10 =  ——  =  ———————————
          1        164363   

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions

 (a-1643630) - (10 • 164363)     a - 3287260
 ———————————————————————————  =  ———————————
           164363                  164363   

Equation at the end of step  3  :

  a - 3287260
  ———————————  = 0 
    164363   

Step  4  :

When a fraction equals zero :

 4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

  a-3287260
  ————————— • 164363 = 0 • 164363
   164363  

Now, on the left hand side, the  164363  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
   a-3287260  = 0

Solving a Single Variable Equation :

 4.2      Solve  :    a-3287260 = 0 

 Add  3287260  to both sides of the equation : 
                      a = 3287260

One solution was found :