Solution:
we have been asked to find all the possible values of the x for the given equation [tex] 3x^2-2x=0 [/tex]
This can be re-written as
[tex] \Rightarrow x(3x-2)=0\\
\\
\Rightarrow x=0 \ \or \ \ (3x-2)=0\\
\\
\Rightarrow x=0, \ \or \ 3x=2\\
\\
\Rightarrow x=0, \ \ x=\frac{2}{3}\\ [/tex]
Hence the required values of x are x=0, x=2/3
