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(5z-3)(z+5)-(5z-3)(z-4)=0
We multiply parentheses ..
(+5z^2+25z-3z-15)-(5z-3)(z-4)=0
We get rid of parentheses
5z^2+25z-3z-(5z-3)(z-4)-15=0
We multiply parentheses ..
5z^2-(+5z^2-20z-3z+12)+25z-3z-15=0
We add all the numbers together, and all the variables
5z^2-(+5z^2-20z-3z+12)+22z-15=0
We get rid of parentheses
5z^2-5z^2+20z+3z+22z-12-15=0
We add all the numbers together, and all the variables
45z-27=0
We move all terms containing z to the left, all other terms to the right
45z=27
z=27/45
z=3/5
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