How to solve the equation by factoring 5x^2=45?

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First, we'll have to move all terms to one side:

5x^2 - 45 = 0

We'll factorize by 5 to the left:

5(x^2 - 9) = 0

We'll divide by 5 both sides:

x^2 - 9 = 0

We'll re-write the difference of the squares as a product:

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

We'll cancel each factor:

x + 3 = 0

x = -3

x - 3 = 0

x =3

**The solutions of the equation are {-3 ; 3}.**

5X^2 - 45 = 0

5( x^2 - 9) = 0

therefore:- (x^2 - 9 ) =0

x^2 = 9

x=squareroot of 3

x = 3

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