Algebra-1

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

5x² - 25x - 5x + 40 = 0

Simplifying the equation, we have:

5x² - 30x + 40 = 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 40). In other words, we have:

mn = ac

In this case, a = 5 and c = 40, so we have:

mn = 5 * 40
mn = 200

We're also looking for two numbers, m and n, such that their sum is equal to the coefficient of x (which is -30). In other words, we have:

m + n = b

In this case, b = -30.

Now let's find the values of m and n that satisfy these conditions. We need two n...