SOLUTION: I have problems with factoring when it comes to quadratic equations, for example when you do 6x^2 + 7x =3 6x^2+3+7x=0 X^2+3+42x=0 Then you have to find factors of 42 in order

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: I have problems with factoring when it comes to quadratic equations, for example when you do 6x^2 + 7x =3 6x^2+3+7x=0 X^2+3+42x=0 Then you have to find factors of 42 in order      Log On


   



Question 813882: I have problems with factoring when it comes to quadratic equations, for example when you do
6x^2 + 7x =3
6x^2+3+7x=0
X^2+3+42x=0
Then you have to find factors of 42 in order to put it in the form of (x+_) (x+_)
I don't know what factors add up to 3 and multiply to 42

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
6x^2 + 7x = 3
6x^2 + 7x - 3 = 0 |Subtracting 3 from both sides of the EQ
(3x -1)(2x +3)= 0 | Note:SUM of the outside terms(9x) and the inside terms(-2x) = 7x
The Idea is to match Up the -1 and 3 with the 2 & 3 so one gets that 7x
Checking the factoring Using FOIL
F First terms 3x%2A2x+=+6x%5E2
O Outside terms 9x
I Inside terms -2x
L Last terms -3