What is the solution set of 7x² + 3x = 0?

To find the solution set of the equation 7x² + 3x = 0, we can start by factoring the equation.

First, we can factor out the common term, which is x:

x(7x + 3) = 0

Now, we set each factor equal to zero:

1. x = 0
2. 7x + 3 = 0

Solving the second equation:

7x + 3 = 0

7x = -3

x = -3/7

Thus, the solution set includes two values:

• x = 0
• x = -3/7

In conclusion, the full solution set of the equation 7x² + 3x = 0 is:

{0, -3/7}