Solve for $$ x $$ : $$ x(x-2)=0 $$

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1. Start with the equation:  
   $$ x(x - 2) = 0 $$.

2. Apply the Zero Product Property: if the product of two factors is zero, then at least one of the factors must be zero. This gives two equations:  
   $$
   x = 0 \quad \text{or} \quad x - 2 = 0.
   $$

3. Solve the second equation:  
   $$
   x - 2 = 0 \implies x = 2.
   $$

4. The solutions are:  
   $$
   x = 0 \quad \text{or} \quad x = 2.
   $$
The solutions are $$ x = 0 $$ or $$ x = 2 $$.

Solve for \( x \) : \( x(x-2)=0 \)

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