You can put this solution on YOUR website! How many real roots/solutions does
9x^2+12x= -4
9x^2+12x + 4 = 0
-----------
Find the discriminant
Disc = b^2 - 4ac
------
Disc < 0 --> no real roots
Disc = 0 --> 2 real roots that are equal, eg 2 & 2
Disc > 0 --> 2 real roots that are not equal, eg 2 & 3
-------------
A quadratic always has 2 roots. Sometimes the 2 are equal, called "multiplicity 2."
------------
A cubic always has 3.
A quartic always has 4.
Etc.