Solve equation

Question

4z^3-8z^2=0

Answer 1

4z³ - 8z² = 0      Factor out GCF, 4z²

4z²(z - 2) = 0     Zero product rule

 

4z² = 0

z = 0

 

z - 2 = 0

z = 2

 

{0, 2}

Answer 2

Dear Zach,

 

  You can also get the answer by graphing. Graph the object.  Just replace the "z" by an "x."  Then check on the table to see where "Y=0" and the values of "X."   You will see that when  y=0, X=0, and y=0 and x=2.  You should have the following:  {0,0} and {2,0}.  

 

If I have helped you, please give me a thumbs up.

 

                                                  Susan C.