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 :

                     20000-(x/100*1000000)=0 

Step by step solution :

Step  1  :

             x 
 Simplify   ———
            100

Equation at the end of step  1  :

             x 
  20000 -  (——— • 1000000)  = 0 
            100

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  100  as the denominator :

              20000     20000 • 100
     20000 =  —————  =  ———————————
                1           100    

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:

 20000 • 100 - (1000000x)     2000000 - 1000000x
 ————————————————————————  =  ——————————————————
           100                       100        

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   2000000 - 1000000x  =   -1000000 • (x - 2) 

Equation at the end of step  3  :

  -1000000 • (x - 2)
  ——————————————————  = 0 
         100        

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:

  -1000000•(x-2)
  —————————————— • 100 = 0 • 100
       100      

Now, on the left hand side, the  100  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
   -1000000  •  (x-2)  = 0

Equations which are never true :

 4.2      Solve :    -1000000   =  0

This equation has no solution.
A a non-zero constant never equals zero.

Solving a Single Variable Equation :

 4.3      Solve  :    x-2 = 0 

 Add  2  to both sides of the equation : 
                      x = 2

One solution was found :