Algebra-1

To solve the equation by factoring, let's rearrange it to bring all the terms to one side:

5x² - 20x + 20 = 0

Next, we're looking for two numbers whose product is equal to the product of the coefficient of x² (which is 5) and the constant term (which is 20). In other words, we have:

mn = ac

In this case, a = 5 and c = 20, so we have:

mn = 5 * 20
mn = 100

We're also looking for two numbers, m and n, such that their sum is equal to the coefficient of x (which is -20). In other words, we have:

m + n = b

In this case, b = -20.

Now let's find the values of m and n that satisfy these conditions. We need two numbers whose product is 100 and w...