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Question 16558: 14+3x(x+2)=-7x
Answer by venugopalramana(3286)   (Show Source):
You can put this solution on YOUR website! 14+3x(x+2)=-7x
14+3x^2+6x+7x=0
3x^2+13x+14=0
now find 2 factors for the product of coefficient of x^2 (3) and constant term (14) which will add up to the coefficient of x (13)
the 2 factors of 3*14=42 which add up to 13 are 6 and 7.hence
3x^2+6x+7x+14=0
3x(x+2)+7(x+2)=0..NOTE THAT THIS COULD BE WRITTEN DIRECTLY FROM FIRST TWO STEPS NAMELY 14+3x(x+2)=-7x
14+3x^2+6x+7x=0
but i showed you the working to do any other problem.
so (x+2)(3x+7)=0
x+2=0 OR 3x+7=0
x=-2 OR 3x=-7..x=-7/3
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