Solving Quadratic Equation by Factoring

How would you solve this by factoring?
3z² - 48 = 0
I got it down to 3(z - 4)(z + 4) = 0
But I don't know how to get the solution set.... please help?

3z² - 48 = 0
3(z² - 16) = 0 {factor 3 out}
3(z + 4)(z - 4) = 0 {z2- 16 is a difference of two squares}
z + 4 = 0 or z - 4 = 0 {set each factor equal to zero}
z = - 4 or z = 4 {solve each equation for z}

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