00:01
All right, so for this question, we are tasked with solving the following equation, t squared minus 3t equals 28.
00:08
So the first step is to move all of the terms the left side.
00:12
And so to do this, we're going to subtract 28 from both sides.
00:16
We're going to get t squared minus 3t minus 28 equals 0.
00:23
So now that we have it's equal to zero, we have a trinomial expression here that we're able to factor.
00:28
And to do this, we need to find a common factor.
00:30
Which we're going to need two numbers that multiply to negative 28 and add to negative 3.
00:37
And so two numbers that do this for us are negative 7 and positive 4, have a product of negative 28 and a sum of negative 3.
00:45
So we're going to expand this expression by writing t squared.
00:50
I'm also going to use parentheses here to group the first two in the last two terms.
00:54
So we got t squared plus 4t plus negative 7t.
01:06
Minus 28 equals 0.
01:10
And then we're going to take out any common denominators, or we take out any common factors, sorry, from each of these parentheses grouping...