Solution - Linear equations with one unknown

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "x2"   was replaced by   "x^2". 

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                     3^2*x^27-(1)=0 

Step by step solution :

Step  1  :

Equation at the end of step  1  :

  (32 • x27) -  1  = 0 

Step  2  :

Trying to factor as a Difference of Cubes:

 2.1      Factoring:  9x²⁷-1 

Theory : A difference of two perfect cubes,  a³ - b³ can be factored into
              (a-b) • (a² +ab +b²)

Proof :  (a-b)•(a²+ab+b²) =
            a³+a²b+ab²-ba²-b²a-b³ =
            a³+(a²b-ba²)+(ab²-b²a)-b³ =
            a³+0+0-b³ =
            a³-b³

Check :  9  is not a cube !!

Ruling : Binomial can not be factored as the difference of two perfect cubes

Equation at the end of step  2  :

  9x27 - 1  = 0 

Step  3  :

Solving a Single Variable Equation :

 3.1      Solve  :    9x²⁷-1 = 0 

 Add  1  to both sides of the equation : 
                      9x²⁷ = 1
Divide both sides of the equation by 9:
                     x²⁷ = 1/9 = 0.111
                     x  =  27th root of (1/9) 

 The equation has one real solution
This solution is  x = 27th root of ( 0.111) = 0.92184

One solution was found :