Solution - Linear equations with one unknown

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "n1"   was replaced by   "n^1". 

Rearrange:

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

                     8*n-3*n^15-(4*n^25)=0 

Step by step solution :

Step  1  :

Equation at the end of step  1  :

  (8n -  (3 • (n15))) -  22n25  = 0 
 Step  2  :

Equation at the end of step  2  :

  (8n -  3n15) -  22n25  = 0 

Step  3  :

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   -4n²⁵ - 3n¹⁵ + 8n  =   -n • (4n²⁴ + 3n¹⁴ - 8) 

Equation at the end of step  4  :

  -n • (4n24 + 3n14 - 8)  = 0 

Step  5  :

Theory - Roots of a product :

 5.1    A product of several terms equals zero. 

 When a product of two or more terms equals zero, then at least one of the terms must be zero. 

 We shall now solve each term = 0 separately 

 In other words, we are going to solve as many equations as there are terms in the product 

 Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

 5.2      Solve  :    -n = 0 

 Multiply both sides of the equation by (-1) :  n = 0

Equations of order 5 or higher :

 5.3     Solve   4n²⁴+3n¹⁴-8 = 0

Handling of functions of an even degree greater than 6 is not implemented yet

One solution was found :