Answer: because it’s not good to start like that
Step-by-step explanation:
Hello!
To answer this question we need to find the factors of -120.
The total set (both negative and postive! ) are the following:
- 1, -120
- 2, -60
- 3, -40
- 4, -30
- 5, -24
- 6, -20
- 8, -15
- 10, -12
- 12, -10
- 15, -8
- 20, -6
- 24, -5
- 30, -4
- 40, -3
- 60, -2
- 120, -1
After looking over all of these factors, we can see that 10 · -12 is equal to not only -120, but when the multiplication sign is replace by addition, it is equal to -2!
Hope this helps.
For this case we have the following system of equations:

Equating both equations we have:

We must find the solutions, for this we factor. We look for two numbers that, when multiplied, result in 4 and when added, result in 5. These numbers are 4 and 1:

Then, the factorized equation is of the form:

Thus, the solutions are:

We look for solutions for the variable "y":

Thus, the system solutions are given by:
ANswer:

If we're only counting 5 vowels (A, E, I, O, U) and 20 consonants (everything else, minus T), then there are

ways of picking the vowels, and

ways of picking the consonants.
We want the word to start with T, and we'll allow any arrangement of the other 4 letters, so that the total number of words is

Keep in mind that this means words like TRIES and TIRES are treated as different.