SOLUTION: I need to solve by factoring and using the principle of zero products. question: 9x^2-4=0 I know 9 has a square root of 3 and 4 has a square root of 2 so should I use the steps

Question 438304: I need to solve by factoring and using the principle of zero products.
question: 9x^2-4=0
I know 9 has a square root of 3 and 4 has a square root of 2 so should I use the steps of "difference of squares" or "perfect square trinomial" to factor? Oh wait is that even a trinomial equation?
I did this one but there are like terms so I know what the GCF is to pull out. The problem I need help with doesn't have like terms.
x^2+18x=0
x(x+18)=0
x=0 x=-18
Thank you for your time
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

 

Hi

solving by 'factoring' and using the principle of zero products

F	First terms

O	Outside terms

I	Inside terms

L	Last terms

 9x^2-4=0

factoring:   Note:SUM of the outside terms(-6x) and the inside terms(6x) = 0

 (3x+2)(3x-2) = 0

using the principle of zero products

 (3x+2)=0  

   3x = -2       x = -2/3

 (3x-2)=0  

   3x = 2        x = 2/3

 

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