Question 999558
You should completely retry what you did, but start THIS WAY for your numbers:


x can be any integer.
2x will then be the first of your consecutive EVEN integers. The next two are  2x+2  and  2x+4.


Now your consecutive EVEN integers are:
{{{system(2x, 2x+2,2x+4)}}}
Solve the problem now, according to those expressions.


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Upon rechecking your original work, the steps are still correct, regardless of the "x" or the "2x".  The step which is {{{(x+12)(x-7)=0}}} WILL give what you need.  The assumption was that x could be one of the even numbers.


Zero-Product Rule says that either x+12=0, leading directly to x=-12, or that x-7=0, leading directly to x=7.  You KNOW that x=7 cannot be acceptable because this is ODD, and your description and question specified finding consecutive EVEN integers.  You must then accept the {{{highlight(x=-12)}}} result.  


You know the rest.  Either way, test the results.