SOLUTION: Can you please help me solve this formula: {{{X^3-7X^2+6X=0}}} I know that there are three answeres I just don't know how to start it. Thank You

Algebra ->  Exponents -> SOLUTION: Can you please help me solve this formula: {{{X^3-7X^2+6X=0}}} I know that there are three answeres I just don't know how to start it. Thank You      Log On


   

Question 135806: Can you please help me solve this formula: X%5E3-7X%5E2%2B6X=0
I know that there are three answeres I just don't know how to start it.
Thank You
Found 2 solutions by checkley77, ptaylor:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
x^3-7x^2+6x=0
x(x^2-7x+6)=0
x(x-6)(x-1)=0
x=0 answer.
x-6=0
x=6 answer.
x-1=0
x=1 answer.

Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E3-7x%5E2%2B6x=0
First off, we can see by inspection that one answer is x=0
Factor x out
x%28x%5E2-7x%2B6%29=0
we can factor x%5E2-7x%2B6; %28x-1%29%28x-6%29. So now we have:

x%28x-1%29%28x-6%29=0
x=0,
x-1=0; x=1
x-6=0; x=6
Hope this helps----ptaylor