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:
- x = 0
- 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}