SOLUTION: Solving equations by factoring: 3zē=12z I know the answer is {0,4} from the back of the book I'm just not sure how to get it.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solving equations by factoring: 3zē=12z I know the answer is {0,4} from the back of the book I'm just not sure how to get it.      Log On


   

Question 1031901: Solving equations by factoring:
3zē=12z
I know the answer is {0,4} from the back of the book
I'm just not sure how to get it.
Found 2 solutions by mananth, addingup:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

3z%5E2=12z

3z%5E2-12z=0
3z%28z-4%29=0
3z=0 OR z-4 =0
z= 0 OR z=4
(0,4)

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
Solve: 3zē=12z
3zē=12z
3zē-12z = 0
3z(z-4) = 0 Divide both sides by 3 (and remember 0/3 = 0)
z(z-4) = 0 Now split this into 2 equations:
z = 0
or
z-4 = 0 Add 4 on both sides:
z = 4
There you have it, z=0 or z=4 {0,4}