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 :

                     3^2*x*(81)-(27)=0 

Step by step solution :

Step  1  :

Equation at the end of step  1  :

  ((32 • x) • 81) -  27  = 0 

Step  2  :

Multiplying exponents :

 2.1    3²  multiplied by  3⁴   = 3^{(2 + 4)} = 3⁶

Equation at the end of step  2  :

  36x -  27  = 0 

Step  3  :

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   729x - 27  =   27 • (27x - 1) 

Equation at the end of step  4  :

  27 • (27x - 1)  = 0 

Step  5  :

Equations which are never true :

 5.1      Solve :    27   =  0

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

Solving a Single Variable Equation :

 5.2      Solve  :    27x-1 = 0 

 Add  1  to both sides of the equation : 
                      27x = 1
Divide both sides of the equation by 27:
                     x = 1/27 = 0.037

One solution was found :