Solve for x. 7x + = 4x - 5x + 12 x = 15/8 x = -9/2 x = 9/8 x = -15/2

x=-3

(1): "x4"   was replaced by   "x^4".  

Step by step solution :

STEP

1

:

Equation at the end of step 1

 4•(x4))-(21•(x3)))-(2•23x2))+219x)+180  = 0  

STEP  

2

:

Equation at the end of step

2

:

 4•(x4))-(3•7x3))-(2•23x2))+219x)+180  = 0  

STEP  

3

:

Equation at the end of step

3

:

 (((22x4 -  (3•7x3)) -  (2•23x2)) +  219x) +  180  = 0  

STEP

4

:

Polynomial Roots Calculator :

4.1    Find roots (zeroes) of :       F(x) = 4x4-21x3-46x2+219x+180

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  4  and the Trailing Constant is  180.

The factor(s) are:

of the Leading Coefficient :  1,2 ,4

of the Trailing Constant :  1 ,2 ,3 ,4 ,5 ,6 ,9 ,10 ,12 ,15 , etc

if x = 1, then the answer is 3.5

just sum

10 + 10 = 20