#### Answer

$x=0$ or $x=5$

#### Work Step by Step

Step 1: Not needed as there are no fractions.
Step 2: Not needed as there are no parentheses.
Step 3: Not needed as no simplification necessary.
Step 4: The equation $3x(x-5)=0$ is quadratic.
Step 5: Not needed as the equation is already factored.
Step 6: Not needed as the equation is already factored.
Step 7: $(3x)=0$ or $(x-5)=0$
Step 8: $x=0$ or $x=5$
Final Step: Checking by substituting the answers in the original equation:
$3x(x-5)=0$ and $3x(x-5)=0$
$3(0)(0-5)=0$ and $(3\times5)(5-5)=0$
$0(-5)=0$ and $(15)(0)=0$
$0=0$ and $0=0$
Therefore, the answer checks.