prove x^2+6x+2x+12=0

Question

please prove statement with reasons

Answer 1

This is not the kind of thing that you prove.  It's a quadratic conditional equation; you solve it by factoring, to get the only two numbers that make it true. 

 

My objection is to the misuse of the word PROVE.  (x+2)(x+6) = 0 only when x = - 2 or x = -6; these are the 'roots' of the equation.

Answer 2

It only equals zero if x is -2 or -6. So in general there's nothing to prove. You may want to check the way you wrote this problem, to see if you left anything out. :-(