00:01
All right, so once again, we're going to distribute to begin with because we need to combine all like terms, which means that we need to remove parentheses so we can see those like terms.
00:13
All right, so from here we have 3t squared minus 15t plus 14 is equal to 5 minus t squared minus 3t.
00:35
Then i'm going to combine like terms.
00:38
So i see t squared, t turns, and constant terms.
00:49
I want to move them from one side of the equation, so that's a zero by inverses, to get their inverses on the other side.
00:57
And i want to make sure that the coefficient on the t squared term is positive.
01:02
So it looks like i should remove this, remove this, and add to here.
01:08
So i'm going to add one t.
01:10
Squared here and here and then that means that everything has to move to the left so i'm going to add 3 t and it's helpful to put them next to or under their like terms subtract 5 subtract 5 so this side will be 0 this side will have 9 negative 12 t positive 9 and 4 t squared now we've actually seen this before.
01:55
In the previous two problems ago, we saw that to multiply to this, you need to do a perfect square.
02:05
So to make 4t squared, you do 2t times 2t.
02:09
And to make 9, you multiply 3 times 3...