X^2=3x

To solve the equation x^2 = 3x, we can rearrange the equation to get all the terms on one side:

x^2 - 3x = 0

Now, let's factor out an x from the left side:

x(x - 3) = 0

To find the values of x that make the equation true, we set each factor equal to zero:

x = 0 or x - 3 = 0

For x = 0, we have one solution.

For x - 3 = 0, we add 3 to both sides to solve for x:

x = 3

So the equation x^2 = 3x has two solutions: x = 0 and x = 3.