Ok let’s try to solve this quadratic equation by using the quadratic formula.
Which I have listed up here above.
uh before we can apply the formula we need to make sure our equation is in this form.
So let’s do that. 
I need to get zero on the right side so I will add sixteen to both sides.
Now I can identify my A, my B, and my C.
A is one, B is six, and C is sixteen.
So I plug them into the quadratic formula and I have x equals negative six.
Plus or minus the square root of six squared minus four times one, times sixteen.
Make sure to have your square root cover all of that and then your fraction bar is underneath everything here all over two times one.
And I just do some simple arithmetic.
Six squared is thirty six minus four times one times sixteen is sixty four. 
all over two times one which is two.
Thirty six minus sixty four is negative twenty eight. 
and the square root of negative twenty eight we’ll work on it over here on the side.
I need to separate out the negative and any perfect squares well four goes into twenty eight seven times 
so I separate the perfect squares and the negative out.
And the square root of negative four is just two i times the square of seven then. 
So let’s go back to the equation and replace it with two i square root seven. 
All over two. 
now there’s a couple of ways you could do this you could factor a two out on top and cancel it, with this two or since it’s a complex number we can split the 
negative six over the two plus or minus the two i square root seven over two.
And then reduce each of those fractions.
Negative six over two is negative three plus or minus the two’s cancel.
So you’ve got i times the square root of seven.
And here are the two solutions to the original quadratic equation from above. 
and they are complex solutions because there is an i.     
