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

Nov 13, 2015

$\left(3 x + 2\right) \left(x - 5\right)$.
$x = - \frac{2}{3}$,
$x = 5$.

#### Explanation:

$15 {x}^{2} - 65 x - 50$.

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

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:
$\frac{\left(3 x + 2\right) \left(3 x - 15\right)}{3}$. We can divide the sec on bracket by 3, leaving us with:
$\left(3 x + 2\right) \left(x - 5\right)$, which is the final answer.

Hope it Helps! :D .