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 :

                     50^2*k-(65)=0 

Step by step solution :

Step  1  :

 1.1     50 = 2•52

(50)² = (2•5²)² = 2² • 5⁴

Equation at the end of step  1  :

  ((22•54) • k) -  65  = 0 

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   2500k - 65  =   5 • (500k - 13) 

Equation at the end of step  3  :

  5 • (500k - 13)  = 0 

Step  4  :

Equations which are never true :

 4.1      Solve :    5   =  0

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

Solving a Single Variable Equation :

 4.2      Solve  :    500k-13 = 0 

 Add  13  to both sides of the equation : 
                      500k = 13
Divide both sides of the equation by 500:
                     k = 13/500 = 0.026

One solution was found :