| 
 
 
| Question 101963:  How do you solve this factor?
 Factor:     5x^2 + 5x – 30
 Answer by Fombitz(32388)
      (Show Source): 
You can put this solution on YOUR website!   First let's divide by 5 to see if it looks familiar.
 
  From the FOIL (First, Outer, Inner, Last) method, we know,
 
  In our case,
 
  a + b =1
 a*b=-6
 The factors of 6 that are likely possible values are 2 and 3, let's get the signs right. Since a*b is negative, either a or b is negative. Since the sum is positive, the smaller one must be the negative one: a=3, b=-2.
 
  
  To get back to your original equation we have to multiply by 5.
 
  
 | 
  
 | 
 |