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 :

                     500^11*x-(3650)=0 

Step by step solution :

Step  1  :

 1.1     500 = 22•53

(500)¹¹ = (2²•5³)¹¹ = 2²² • 5³³

Equation at the end of step  1  :

  ((222•533) • x) -  3650  = 0 

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   2²² • 5³³x - 3650  =   50 • (10x - 73) 

Equation at the end of step  3  :

  50 • (10x - 73)  = 0 

Step  4  :

Equations which are never true :

 4.1      Solve :    50   =  0

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

Solving a Single Variable Equation :

 4.2      Solve  :    10x-73 = 0 

 Add  73  to both sides of the equation : 
                      10x = 73
Divide both sides of the equation by 10:
                     x = 73/10 = 7.300

One solution was found :