Question 1068009
you can factor this as follows.


first put it in standard form of ax^2 + bx + c = 0


it's already in that form.


you get:


a = 1
b = 12
c = 36


your answers, if there are any that you can find that are rational, will be a factor of a * c which is equal to 36.


36 is equal to 1 * 36 or 2 * 18 or 3 * 12 or 4 * 9 or 6 * 6.


if you add these factors together, the last one (6 * 6) will be equal to 12.


this means your factors are (x + 6) * (x + 6) = 0


solve for x in each of there and you gert x = -6 or x = -6.


the roots of that equation are x = - 6.


if you graph that equaiton, you will see that it touches the x-axis at x = -6 only.


here's what the graph looks like.


<img src = "http://theo.x10hosting.com/2017/021202.jpg" alt="$$$" </>



here's a good link on how to factor quadratic equations.


<a href = "http://www.purplemath.com/modules/factquad.htm" target = "_blank">http://www.purplemath.com/modules/factquad.htm</a>