Algebra-1

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

2x² - 7x - 9 = 0

Next, we're looking for two numbers whose product is equal to the product of the coefficient of x² (which is 2) and the constant term (which is -9). In other words, we have:

mn = ac

In this case, a = 2 and c = -9, so we have:

mn = 2 * (-9)
mn = -18

We're also looking for two numbers, m and n, such that their sum is equal to the coefficient of x (which is -7). In other words, we have:

m + n = b

In this case, b = -7.

Now let's find the values of m and n that satisfy these conditions. We need two numbers whose product is -18 and whose sum is...