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2014-08-21T15:21:54-03:00
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2014-08-21T16:14:51-03:00
 2x2-3x-5=0 Two solutions were found : x = -1 x = 5/2
Step by step solution :Step  1  :Simplify 2x2-3x - 5 Trying to factor by splitting the middle term 1.1     Factoring  2x2-3x-5 

The first term is,  2x2  its coefficient is  2 .
The middle term is,  -3x  its coefficient is  -3 .
The last term, "the constant", is  -5 

Step-1 : Multiply the coefficient of the first term by the constant   2 • -5 = -10 

Step-2 : Find two factors of  -10  whose sum equals the coefficient of the middle term, which is   -3 .
     -10   +   1   =   -9     -5   +   2   =   -3   That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -5  and  2 
                     2x2 - 5x + 2x - 5

Step-4 : Add up the first 2 terms, pulling out like factors :
                    x • (2x-5)
Add up the last 2 terms, pulling out common factors :
                     1 • (2x-5)