# How do you factor 6x^2-9x+10x-15?

May 5, 2018

$\left(3 x + 5\right) \left(2 x - 3\right)$

#### Explanation:

$6 {x}^{2} - 9 x + 10 x - 15$

by grouping and taking the common factor

rearrange:

$\textcolor{red}{6 {x}^{2} + 10 x} \textcolor{b l u e}{- 9 x - 15}$

from the red terms take $2 x$ common factor
and the blue terms take $- 3$ common factor

$\textcolor{red}{2 x} \left(3 x + 5\right) \textcolor{b l u e}{- 3} \left(3 x + 5\right)$

now you can take $\left(3 x + 5\right)$ as a common factor from both terms

$\left(3 x + 5\right) \left(2 x - 3\right)$

May 5, 2018

6x^2-9x+10x-15=color(blue)((2x-3)(3x+5)

#### Explanation:

Factor:

$6 {x}^{2} - 9 x + 10 x - 15$

Factor out the common terms in the first two terms and the second two terms.

$3 x \left(2 x - 3\right) + 5 \left(2 x - 3\right)$

Factor out the common term $2 x - 3$.

$\left(2 x - 3\right) \left(3 x + 5\right)$