Solve the following equation by factoring.2xsquaredequals6xQuestion content area bottomPart 1xequalsenter your response here​(Simplify your answer. Use a comma to separate answers as needed. Type each solution only​ once.)

Answer 1

To solve the equation \( 2x^2 = 6x \) by factoring, follow these steps:

1. First, set the equation to zero by subtracting \( 6x \) from both sides:

   \[ 2x^2 - 6x = 0 \]

2. Next, factor out the common term, which is \( 2x \):

   \[ 2x(x - 3) = 0 \]

3. Now, set each factor equal to zero to find the solutions:

   • \( 2x = 0 \)
   • \( x - 3 = 0 \)

4. Solving these equations gives:

   • From \( 2x = 0 \): \[ x = 0 \]
   • From \( x - 3 = 0 \): \[ x = 3 \]

Thus, the solutions to the equation \( 2x^2 = 6x \) are:

\[ x = 0, 3 \]

In the format requested: 0, 3.