SOLUTION: Thanks so very much! I need your help! factor the quadratic expression completely, and find the roots of the expression. 20x^2 + 13x + 2

Algebra ->  Algebra  -> Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Thanks so very much! I need your help! factor the quadratic expression completely, and find the roots of the expression. 20x^2 + 13x + 2      Log On

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Question 36148: Thanks so very much! I need your help!
factor the quadratic expression completely, and find the roots of the expression.
20x^2 + 13x + 2
Answer by narayaba(40) About Me  (Show Source):
You can put this solution on YOUR website!

20x^2 + 13x + 2 = 0 of the form (ax^2 + bx + c = 0)
The product a*c = 2*20 = 40
sum = b = 13
5 times 8 is 40 5+8 = 13
hence 20x^2 + 13x + 2 can be factored as 20x^2 + 5x + 8x + 2
5x (4x + 1) + 2(4x + 1 )
(5x+2)(4x+1) = 0
x = -2/5 or x = -1/4