00:01
Okay, we're going to solve a series of quadratics here.
00:03
To help with this, we're going to first set all of our quadratics equal to zero.
00:07
We have to get them equal to zero first.
00:09
So if i add 5x squared over, that will equal zero on the right side.
00:12
This will turn to x squared plus 6x minus 16 equal to zero.
00:17
I'm going to choose to do this by factoring.
00:20
So if i do that, i need to multiply to negative 16, but add to 6.
00:24
So that's going to be, oh, hello, x plus 8, x minus 2 will fit that pattern.
00:29
So zero product property tells me i'm going to split them up.
00:35
And i solve these out.
00:36
I get negative 8 and a positive 2.
00:39
For the next one, i'm going to add 18x over.
00:44
So that's 9x squared plus 18x plus 79 is equal to 0.
00:52
This one does not reduce.
00:54
And i don't know if it's factorable.
00:56
So i'm actually going to instead choose quadratic formula.
00:59
So negative b plus or minus b squared.
01:03
That's, nope, sorry.
01:06
I'm going to write that down, b squared, minus four times a times c, all over two times a.
01:14
So i'm going to rewrite that in here.
01:16
So that's going to be the opposite of 18 plus or minus the square root of 18 squared minus four times nine times a positive 79...