SOLUTION: 3x(squared)-6x=0

Algebra ->  Expressions-with-variables -> SOLUTION: 3x(squared)-6x=0      Log On


   

Question 112819: 3x(squared)-6x=0
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
You don't say, but I suspect you want to find the roots of this equation.

3x%5E2-6x=0

Since there is at least one x in each term of the left side of the equation, we can factor out an x, resulting in:

x%283x-6%29=0

Now this last statement is true if and only if:

x=0 or 3x-6=0.

3x-6=0
3x=6
x=2

Therefore, x=0 or x=2.

Check the answers:

3%280%29%5E2-6%280%29=0, so the first solution checks.
3%282%29%5E2-6%282%29=12-12=0, so the second solution checks.

Hope this helps.

John