Example:  Please help me solve this equation: 




We try to see if we can factor that this 
as the product of two quadratics:

(__x² + __x + __)(__x² + __ + __}

We know that  factors as  times ,
so we choose 1's for the coefficients of x².

1 factors as either 1×1 or (-1)×(-1).

Since all the terms are positive we chose +1's to go in the
last blanks. So we try to see if we can find A and B such that
the left side factors this way:

  





For this to be equivalent to the original equation, the
coefficients of like powers must be equal

Since the original equation is



we must have  

 and , or 

Solving the first for , 

Sunstituting into 





So , and since 


So we have now factored te left side of



as



We set each factor = 0, but since
the factors are the same, we only need
set one of them = 0:



Solve that by the quadratic formula and get

x =  and x = 

Each solution has multiplicity 2.

Edwin