And so we want to figure out what r is.

That does simplify a little bit.

You get 2x is equal to negative 5.

You get 2x is equal to positive 5.

There were branches on both sides.

And all of those have parentheses around it.

I'll switch to a different color, so you know I'm working on a different column now.

Or the equivalent statement would be to multiply both sides by 1 over 13. Same thing.

We want the right side to just be x minus 1.

We have x squared on both sides of this, we subtract x squared from both sides of the equation.

We have x dv dx is equal to 1.

So let's call that mu.

And then let's see, what can we cancel out.

And now I want to get rid of this negative 5.

So we get 2xv v prime divided by 1 plus v squared is equal to 1.

So you have to say that that is also equal to.

And so you have this 15 trillions divided by 1.025 or you can divide both sides by 1.025 and multiply both sides by the real GDP.

For the velocity of the two trains.

I can say this is going to be x plus something squared.

If you subtract 5 from both sides, you get 2x is equal to negative 5.

So you could say 8 x over 13 is equal to 4 fifth times x minus fifteen.

Here is a devastating pest, a spider mite, because it does a lot of webbing, like a spider.

I'm going to multiply everything by negative 1.

That's the y squared right there.

So that's 0.9423.

So we multiply this times 9, If you multiply right side by 9, you need to multiply the left by 9 for both sides to be equal. on the right hand side the 9 cancel out, you are

Or you could say x minus 2 is equal to 0.

So we just get x minus 7 is 0.

So I want to get rid of this negative 5, and I can do that by adding 5 to both sides of this equation.

And if x minus 7 squared is equal to 0, take the square root of both sides.

And the best way I can think of doing that is just to add 20 to both sides of this equation.

The one I'd adopt is, let's say, for the 10th percentile this is 10 and this is 90 .

And then, let's see, I want to get rid of this minus, and I want to get rid of this b squared.

And to solve this, 4 times something is 36, you could solve that probably in your head.

And now we could square both sides of this equation right here.

This is 146 is equal to 180.

So let's just do the same step.

You have nine x is equal to eleven.

And then we can solve each of these.

If we take 1 3 of these things and we take 1 3 of those things, we should still get the same mass on both sides because the original things had the same mass.

So, you have to have the root.

So that means that x plus 7 is equal to 0, which would mean subtract 7 from both sides.

You could get one solution is negative 5 2.

That'll get rid of the 3's in the denominator.

But all these have the same mass. That's why I wrote Y on all of them.