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 :

                     14^5*x-(114)=0 

Step by step solution :

Step  1  :

 1.1     14 = 2•7

(14)⁵ = (2•7)⁵ = 2⁵ • 7⁵

Equation at the end of step  1  :

  ((25•75) • x) -  114  = 0 

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   2⁵ • 7⁵x - 114  =   2 • (7x - 57) 

Equation at the end of step  3  :

  2 • (7x - 57)  = 0 

Step  4  :

Equations which are never true :

 4.1      Solve :    2   =  0

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

Solving a Single Variable Equation :

 4.2      Solve  :    7x-57 = 0 

 Add  57  to both sides of the equation : 
                      7x = 57
Divide both sides of the equation by 7:
                     x = 57/7 = 8.143

One solution was found :