SOLUTION: I have been struggling with this problem: x(x+6)=0 I just don't understand the steps to get the answer. Can you show me step by step to solve this? This problem was in a chapte

Question 324208: I have been struggling with this problem:
x(x+6)=0
I just don't understand the steps to get the answer. Can you show me step by step to solve this? This problem was in a chapter for factoring. The only directions for this problem was to solve.
Found 2 solutions by jim_thompson5910, Alan3354:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If (A times B equals zero), then either or (or possibly both are zero)

So if , then or . Solve the second equation for 'x' (by subtracting 6 from both sides) to get

So the solutions are or

Notice how if you plug in either or , at least one factor will go to zero and if you multiply everything out, everything goes to zero.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
x(x+6)=0
-----------
If the product is zero, either x or x+6 has to be zero.
--> x = 0
---------
x+6 = 0
x = -6
-------
Quadratic (2nd order) equations have 2 solutions.
Cubic (3rd order) have 3, etc.

RELATED QUESTIONS
Hello, I am struggling with this homework problem. I need to solve for "x" of course, but (answered by bucky)
I have been trying to solve this. I am getting fustrated with this problem because I just (answered by Fombitz)
This is adding a rational expression. I have been trying on this all weekend but can't... (answered by MathLover1)
Hello. Can you please help me? I need to solve this equation.. x^6-9x^4-x^2+9=0... (answered by nerdybill,rapaljer)
I don;t get this graphing thing at all! I have to solve the system of linear equations by (answered by ankor@dixie-net.com)
Please give me the answer with work shown for this problem. I have been working on it... (answered by josmiceli)
I am in serious need of help with quadratic equations. If someone could be so kind as to... (answered by Fombitz)
I need help with this one. *Rationalize the denominator. Assume that no radicands were... (answered by Earlsdon)
Hello there. I need help on a problem. It says Use elimination to solve each system of... (answered by jim_thompson5910,solver91311)