# How do you factor 6x-9?

Jun 1, 2018

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

#### Explanation:

To factor $6 x - 9$, begin by finding a common factor between each of the terms.

In this case $3$ goes into both $6$ and $9$

This can be factored out leaving

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

Jun 1, 2018

$x = \frac{3}{2}$

#### Explanation:

As per the question, we have

$6 x - 9 = 0$

$\therefore 3 \left(2 x - 3\right) = 0$

$\therefore \left(2 x - 3\right) = \frac{0}{3}$

$\therefore 2 x - 3 = 0$

$\therefore 2 x = 3$

$\therefore x = \frac{3}{2}$