[MUSIC] Let's look at Solving a Quadratic Equation.

For example, let's solve this equation here for x.

Now in solving quadratic equations it's useful to have 0 on 1 side and see if we

can factor the other. Well here we already have 0 on the right,

so let's see if we can factor the left hand side.

Which we can. It factors into x + 5 * x - 1,

and now we can use the fact that if we have a product of factors = 0.

Then either the first factor is = 0 or the second factor is = 0, or both.

So let's use that here, so we have a product of factors = 0, which means

either the first factor, x + 5 = 0. Or, the second factor; x - 1 = 0.

Which means that x = -5, or x = 1, which would be our answers.

Alright, lets look at another example. [SOUND] Lets solve this equation for y.

Now this is a bit different from the first example in that we don't already

have zero on the right hand side. So let's start off by bringing the three

to the left hand side. Which gives us 2 y ^ 2 + 5 y - 3 = 0.

And now we have 0 on the right hand side. So let's see if we can factor the left

hand side here. And we can; it factors into (2y - 1)(y +

3). And again, we have a product of factors

equal to 0, which means either the first factor 2Y-1=0 or the second factor,

Y+3=0. And then, adding 1 and dividing by 2,

gives us that Y=½ or subtracting 3, gives us that Y=(-3).

Which would be your answer. So this is how we solve this type of

quadratic equation, we get zero on one side and factor to the other.

Thank you, and will see you next time.