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

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Answer 1 · 2017-02-10T14:26:43

$x=2$

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.

$(x-2)(x-2)=0$

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

How do you factor 9x^2 - 36x + 36 = 09x^2 - 36x + 36 = 0?