How do you factor 15x^2 - 65x - 50 15x265x50?

1 Answer
Nov 13, 2015

(3x+2)(x-5)(3x+2)(x5).
x = -2/3x=23,
x = 5x=5.

Explanation:

We start with:
15x^2 - 65x - 5015x265x50.

First of all, we can simplify by dividing 55.
5(3x^2 - 13x - 10)5(3x213x10). This can be written as:
3x^2 - 13x - 103x213x10.

We now multiply the factor of x^2x2, (3) by the last number (-10).
We get -3030. We now have to look for multiples that add to -13 and multiply to -3030. These are 22 and -1515.

We now lay out the equation as:
((3x + 2)(3x -15))/3(3x+2)(3x15)3. We can divide the sec on bracket by 3, leaving us with:
(3x+2)(x-5)(3x+2)(x5), which is the final answer.

Hope it Helps! :D .