Algebra: A Combined Approach (4th Edition)

$x=0$ or $x=5$
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.