SOLUTION: 14+3x(x+2)=-7x

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

RELATED QUESTIONS
14 + 3x(x+2) =... (answered by tommyt3rd)

X^(2)-7x=14 (answered by stanbon)

again these are over each other for example x^2 - 3x + 2 is over 7x - 14 Divide: x2 �... (answered by jim_thompson5910)

-7x<14 and 3x+2<8 (answered by jim_thompson5910)

x squared + 7x+10 / 3x divided by 7x+14 /... (answered by stanbon)

Divide: x2 � 3x + 2 � x2 � 1 7x � 14 7x + 7 (answered by jim_thompson5910)

Divide: x^2 � 3x + 2 / 7x � 14 � x^2 � 1 / 7x + 7 Thank You!!! You guys are (answered by edjones,jim_thompson5910)

((2-x)/(7x)) times... (answered by stanbon)

-7x+14>-3x-6 (answered by ikleyn)