How do you factor 15x^2 - 65x - 50 ?

1 Answer
Nov 13, 2015

(3x+2)(x-5).
x = -2/3,
x = 5.

Explanation:

We start with:
15x^2 - 65x - 50.

First of all, we can simplify by dividing 5.
5(3x^2 - 13x - 10). This can be written as:
3x^2 - 13x - 10.

We now multiply the factor of x^2, (3) by the last number (-10).
We get -30. We now have to look for multiples that add to -13 and multiply to -30. These are 2 and -15.

We now lay out the equation as:
((3x + 2)(3x -15))/3. We can divide the sec on bracket by 3, leaving us with:
(3x+2)(x-5), which is the final answer.

Hope it Helps! :D .