What are the solutions of x in the equation 3x2−18x=0 ?(2 points)

Answer 1

To solve the equation \( 3x^2 - 18x = 0 \), you can start by factoring the left-hand side:

1. Factor out the common term, which is \( 3x \): \[ 3x(x - 6) = 0 \]

2. Set each factor equal to zero: \[ 3x = 0 \quad \text{or} \quad x - 6 = 0 \]

3. Solve for \( x \):

   • From \( 3x = 0 \): \[ x = 0 \]
   • From \( x - 6 = 0 \): \[ x = 6 \]

Thus, the solutions for \( x \) are \( x = 0 \) and \( x = 6 \).