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(4z+8)(z+2)=4z^2-48
We move all terms to the left:
(4z+8)(z+2)-(4z^2-48)=0
We get rid of parentheses
-4z^2+(4z+8)(z+2)+48=0
We multiply parentheses ..
-4z^2+(+4z^2+8z+8z+16)+48=0
We get rid of parentheses
-4z^2+4z^2+8z+8z+16+48=0
We add all the numbers together, and all the variables
16z+64=0
We move all terms containing z to the left, all other terms to the right
16z=-64
z=-64/16
z=-4
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