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 :

                     6^5*x-(3000)=0 

Step by step solution :

Step  1  :

 1.1     6 = 2•3

(6)⁵ = (2•3)⁵ = 2⁵ • 3⁵

Equation at the end of step  1  :

  ((25•35) • x) -  3000  = 0 

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   7776x - 3000  =   24 • (324x - 125) 

Equation at the end of step  3  :

  24 • (324x - 125)  = 0 

Step  4  :

Equations which are never true :

 4.1      Solve :    24   =  0

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

Solving a Single Variable Equation :

 4.2      Solve  :    324x-125 = 0 

 Add  125  to both sides of the equation : 
                      324x = 125
Divide both sides of the equation by 324:
                     x = 125/324 = 0.386

One solution was found :