# How do you factor 9x^2 - 36x + 36 = 0?

Feb 10, 2017

$x = 2$

#### Explanation:

In any factoring situation, always look for a common factor first, in this case, $H C F = 9$

As it is an equation rather than an expression, we can divide by 9.

$9 {x}^{2} - 36 x + 36 = 0 \text{ } \leftarrow \div 9$

${x}^{2} - 4 x + 4 = 0$

Find factors of 4 which add up to $4$
The signs in the brackets will be the same, both are minus.

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

$x - 2 = 0 , \text{ } \rightarrow x = 2$