00:01
Hello, hope you're doing well.
00:03
So we have our equation that we need to solve here.
00:05
So first we're going to subtract the square of x plus 3 from both sides.
00:11
And when we do that, we end up with the square root of 2x plus 1 is equal to minus the square root of x plus 3.
00:19
Now we can square both sides of our equation.
00:23
So that gets rid of this negative here.
00:25
So we get 2x plus 1 is equal to x plus 3.
00:30
So now we can just solve this equation for x.
00:32
So we can subtract x from both sides of our equation.
00:36
We end up with x plus 1 is equal to 3.
00:40
And subtracting 1 from both sides of our equation, we get x is equal to 2.
00:45
So now because there are multiple square roots in our equation, because of that, we need to check to make sure that this is a solution by plugging it in.
00:57
So i'm going to rewrite our equation down here.
01:02
So then we can just plug in x is equal to 2.
01:12
We're going to find out if this is equal to 0.
01:15
So plugging in x is equal to 2, we get squared of 2 times 2 plus 1 plus the square root of 2 plus 3 is equal to 0...