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 :

                     27^2*n-(-243)=0 

Step by step solution :

Step  1  :

 1.1     27 = 33

(27)² = (3³)² = 3⁶

Equation at the end of step  1  :

  (36 • n) -  -243  = 0 

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   729n + 243  =   243 • (3n + 1) 

Equation at the end of step  3  :

  243 • (3n + 1)  = 0 

Step  4  :

Equations which are never true :

 4.1      Solve :    243   =  0

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

Solving a Single Variable Equation :

 4.2      Solve  :    3n+1 = 0 

 Subtract  1  from both sides of the equation : 
                      3n = -1
Divide both sides of the equation by 3:
                     n = -1/3 = -0.333

One solution was found :