How do you solve the equation x^2 + 3x = 0?

To solve the equation x² + 3x = 0, we can start by factoring the equation.

First, we notice that both terms on the left side have a common factor of x. We can factor x out:

x(x + 3) = 0

Now we set each factor to zero to find the possible values of x:

• x = 0
• x + 3 = 0 ⟹ x = -3

Therefore, the solution to the equation consists of two values:

• x = 0
• x = -3

This means that the equation x² + 3x = 0 has two solutions: x = 0 and x = -3.