No solutions found

Rearrange:

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

                     5*x^29*x-(-4)=0 

Step  1  :

Equation at the end of step  1  :

  (5x29 • x) -  -4  = 0 
 Step  2  :

Trying to factor as a Sum of Cubes :

 2.1      Factoring:  5x³⁰+4 

Theory : A sum 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 :  5  is not a cube !!

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

Equation at the end of step  2  :

  5x30 + 4  = 0 

Step  3  :

Solving a Single Variable Equation :

 3.1      Solve  :    5x³⁰+4 = 0 

 Subtract  4  from both sides of the equation : 
                      5x³⁰ = -4
Divide both sides of the equation by 5:
                     x³⁰ = -4/5 = -0.800
                     x  =  30th root of (-4/5) 

 The equation has no real solutions. It has 30 imaginary, or complex solutions.
 These solutions are x = 30th root of -0.80000