Question

Use the ZPP (Zero Product Property) to solve the equation. Check your answer. Show all your work.

x(x+3)=18

Answer 1

In order to use the ZPP, you should rearrange so that you have zero, no?

Answer 2

Right, so then the new equation would become x(x+3)-18=0?

Answer 3

Good. No, expand and refactor in the new condition.

Answer 4

Can you help me with the next step... because I'm trying to plug in numbers into the equation and so it becomes 18-18=0. Sorry.

Answer 5

Why are you in "plug in" mode? Did you learn factoring?

Expand, first!

You need to factor or use the quadratic formula.

Answer 6

x(x+3)-18=0

\(x^{2} + 3x - 18 = 0\)

Looking familiar?

Answer 7

Yeah, but my teacher wants me to ZPP it. So like for example:
(x+1)(x+3)=0

1. (-1+1)(-1+3)=0
0 (2) = 0
0 = 0

2. (-3+1)(-3+3)=0
(-2)0=0
0=0

And so the solutions would be -1 and -3. I don't understand why she wants us to do it this way....but those are the instructions. I understand how to factor and to use the quadratic formula....however I don't know if this is how she would like for me to do the problem.

Answer 8

If you know how to factor, factor this: \(x^{2} + 3x - 18\)

Answer 9

Yeah, but my teacher wants me to ZPP it. So like for example:
(x+1)(x+3)=0

1. (-1+1)(-1+3)=0
0 (2) = 0
0 = 0

2. (-3+1)(-3+3)=0
(-2)0=0
0=0

And so the solutions would be -1 and -3. I don't understand why she wants us to do it this way....but those are the instructions. I understand how to factor and to use the quadratic formula....however I don't know if this is how she would like for me to do the problem.

Answer 10

So, you're not going to factor it? Why do you keep telling my the same thing? FACTOR IT!!!!!