The problem is to solve the equation $x^2 = 3x$.

1. Problem Description

The problem is to solve the equation $x^2 = 3x$.

2. Solution Steps

We are given the equation $x^2 = 3x$.

First, subtract $3x$ from both sides to set the equation equal to zero:

$x^2 - 3x = 0$

Now, factor out an $x$ from the left side:

$x(x - 3) = 0$

For the product of two terms to be zero, at least one of the terms must be zero. Therefore, either $x = 0$ or $x - 3 = 0$.

If $x = 0$, then we have one solution, $x = 0$.

If $x - 3 = 0$, then adding 3 to both sides gives $x = 3$.

Thus, the solutions are $x = 0$ and $x = 3$.

3. Final Answer

The solutions to the equation are $x = 0$ and $x = 3$.