SOLUTION: y^2+3yz-8z-4x=0 solve for z

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Question 982136: y^2+3yz-8z-4x=0
solve for z

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The steps must become intuitive.

Repeating the equation
y%5E2%2B3yz-8z-4x=0

Additive Inverses used for Addition Property of Equality
3yz-8z=4x-y%5E2

Not sure what you call this, but combining like terms of z or reverse of Distributive Property to factorize
%283y-8%29z=4x-y%5E2

Multiplication Property of Equality using multiplicative inverse
z=%284x-y%5E2%29%2F%283y-8%29