Question 813882
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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*2x = 6x^2}}}
O	Outside terms  9x
I	Inside terms  -2x
L	Last terms    -3