Solution - Nonlinear equations

Step by step solution :

Step  1  :

Equation at the end of step  1  :

  (3x24 • x) -  15  = 0 
 Step  2  :
 Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   3x²⁵ - 15  =   3 • (x²⁵ - 5) 

Equation at the end of step  3  :

  3 • (x25 - 5)  = 0 

Step  4  :

Equations which are never true :

 4.1      Solve :    3   =  0

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

Solving a Single Variable Equation :

 4.2      Solve  :    x²⁵-5 = 0 

 Add  5  to both sides of the equation : 
                      x²⁵ = 5
                     x  =  25th root of (5) 

 The equation has one real solution
This solution is  x = 25th root of 5 = 1.0665

One solution was found :