where to solve the quadratic equation three X squared minus 14 X plus 16. The first thing I'm gonna do is because my A term is three. I want to divide every term by three to remove that. So we have X squared minus 14 3rd plus 16 3rd will equal zero and we're gonna go ahead and subtract 16 3rd from both sides. So have X squared minus 14 3rd X would equal negative 16 birds. So let's go ahead and do our steps to complete the square. So our be term is negative. 14 3rd and half of that are dividing that by two is going to be negative. Seven thirds. So then I'm going to square negative seven thirds and get 49 over. Not. And so I have that to both sides, so I'll have X squared minus 14 3rd X plus 49 knots equals negative 16 3rd plus 49 nuts. So we're gonna go ahead and factor that. And when I factor that I'm gonna get X minus seven thirds will equal 16 3rd plus 49 nines would be +19 So I have X minus seven thirds equals one. Not so we're gonna find the square root of both of those. So the square root of X minus seven third squared is gonna be X minus seven thirds and one night, the square root of one night is plus or minus one third. So we're gonna do it once with positive one third and once with negative one third, so we'll add seven thirds to both sides. So X will equal eight thirds would be our first solution. Add seven thirds here, so X would equal six thirds, which would also equal to, So my solution is going to be to and then eight thirds.