Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "h6"   was replaced by   "h^6". 

Step  1  :

Equation at the end of step  1  :

  (0 -  (8 • (h2))) -  13h6
 Step  2  :

Equation at the end of step  2  :

  (0 -  23h2) -  13h6

Step  3  :

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   -13h⁶ - 8h²  =   -h² • (13h⁴ + 8) 

Polynomial Roots Calculator :

 4.2    Find roots (zeroes) of :       F(h) = 13h⁴ + 8
Polynomial Roots Calculator is a set of methods aimed at finding values of  h  for which   F(h)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  h  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  13  and the Trailing Constant is  8.

 The factor(s) are:

of the Leading Coefficient :  1,13
 of the Trailing Constant :  1 ,2 ,4 ,8

 Let us test ....

Polynomial Roots Calculator found no rational roots

Final result :

  -h2 • (13h4 + 8)