SOLUTION: Factor: How do I do this ? Solve: 6x^2=12x Thanks for your help and time, it's greatly appreciated !

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: Factor: How do I do this ? Solve: 6x^2=12x Thanks for your help and time, it's greatly appreciated !      Log On


   

Question 27741: Factor:
How do I do this ?
Solve:
6x^2=12x
Thanks for your help and time, it's greatly appreciated !
Answer by sdmmadam@yahoo.com(530) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
How do I do this ?
Solve:
6x^2=12x ----(1)
Thanks for your help and time, it's greatly appreciated !
6x^2=12x
6x^2-12x = 0 (change side, then change sign)
6x(x-2) = 0
6 cannot be 0
Therefore either x= 0 or (x-2) = 0
And (x-2) = 0 implies x = 2
Answer: The two values for x are 0 and 2
Verification: Putting x= 0 in (1)
LHS = 6x^2 = 6X(0^2) = 6X0 = 0 = RHS
Hence x = 0 is correct
Putting x= 2 in (1)
LHS = 6x^2 = 6X(2^2) = 6X4 = 24 = 12X2 = RHS
Hence x = 2 is correct