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Answer :

Given:

The equation is,

[tex]3x\mleft(x-1\mright)\mleft(x-2\mright)=0[/tex]

Explanation:

For the solution of equation 3x(x - 1)(x - 2) = 0, x = 0, x - 1 = 0 and x - 2 = 0.

Simplify the equations x - 1 = 0 and x - 2 = 0 for x.

[tex]\begin{gathered} x-1=0 \\ x=1 \end{gathered}[/tex]

and

[tex]\begin{gathered} x-2=0 \\ x=2 \end{gathered}[/tex]

So solutions of the equations are x = 0, x = 1 and x = 2.

From the options, it can be observed that x = 3 is not a solution of equation.

Option D is correct option.