Final answer:
To solve the quadratic equation 9x² + 15x = 0, factor out the common term and set each factor equal to zero. The solutions are x = 0 and x = -15/9.
Step-by-step explanation:
The given equation is 9x² + 15x = 0. To solve this quadratic equation, we can factor out the common term of x from the equation:
x(9x + 15) = 0
Setting each factor equal to zero, we have two possible solutions:
x = 0 and 9x + 15 = 0
Solving the second equation, we get:
9x = -15
x = -15/9
Therefore, the solutions to the quadratic equation 9x² + 15x = 0 are x = 0 and x = -15/9.