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 :

                     100^5*x-(20)=0 

Step by step solution :

Step  1  :

 1.1     100 = 22•52

(100)⁵ = (2²•5²)⁵ = 2¹⁰ • 5¹⁰

Equation at the end of step  1  :

  ((210•510) • x) -  20  = 0 

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   2¹⁰ • 5¹⁰x - 20  =   20 • (5x - 1) 

Equation at the end of step  3  :

  20 • (5x - 1)  = 0 

Step  4  :

Equations which are never true :

 4.1      Solve :    20   =  0

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

Solving a Single Variable Equation :

 4.2      Solve  :    5x-1 = 0 

 Add  1  to both sides of the equation : 
                      5x = 1
Divide both sides of the equation by 5:
                     x = 1/5 = 0.200

One solution was found :