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

1 Answer
Feb 10, 2017

Answer:

#x=2#

Explanation:

In any factoring situation, always look for a common factor first, in this case, #HCF = 9#

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

#9x^2 -36x +36 =0" "larr div 9#

#x^2 -4x +4 = 0#

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

#(x-2)(x-2)=0#

#x-2 = 0," "rarr x = 2#