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 :

                     10^2*x-(40)=0 

Step by step solution :

Step  1  :

 1.1     10 = 2•5

(10)² = (2•5)² = 2² • 5²

Equation at the end of step  1  :

  ((22•52) • x) -  40  = 0 

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   100x - 40  =   20 • (5x - 2) 

Equation at the end of step  3  :

  20 • (5x - 2)  = 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-2 = 0 

 Add  2  to both sides of the equation : 
                      5x = 2
Divide both sides of the equation by 5:
                     x = 2/5 = 0.400

One solution was found :