Answer:
your answer can be either 
Step-by-step explanation:
 x = 5
 x = 3
  x=  0.0000 - 2.0000 i  
  x=  0.0000 + 2.0000 i  
Step by step solution :
Step  1  :
Equation at the end of step  1  :
  ((((x4)-(8•(x3)))+19x2)-32x)+60  = 0  
 Step  2  :
Equation at the end of step  2  :
  ((((x4) -  23x3) +  19x2) -  32x) +  60  = 0  
Step  3  :
Polynomial Roots Calculator :
 3.1    Find roots (zeroes) of :       F(x) = x4-8x3+19x2-32x+60
Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  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  1  and the Trailing Constant is  60.  
 The factor(s) are:  
of the Leading Coefficient :  1
 of the Trailing Constant :  1 ,2 ,3 ,4 ,5 ,6 ,10 ,12 ,15 ,20 , etc