Youssef, let's start with what's common between all three terms, 2x.
2x(6x2 - 29x - 5)
Now, we multiply 6(-5) = -30. What two factors of -30 add up to -29?
2 and -15? Nooooo.
-3 and 10? Noooooo.
What about -30 and 1? Sure enough!
We are going to split -29x into x - 30x.
2x(6x2 + x - 30x - 5)
Now, what is common between 6x2 + x?
x(6x + 1)
What's common between -30x and -5?
-5(6x + 1)
Let's put it back together.
2x(x(6x + 1) - 5(6x + 1))
Notice that we have 6x + 1 twice. This means we can combine what's before them into their own parentheses.
2x(x - 5)(6x + 1)
There's your answer. Hope this helps!
