Hi again!
The reason I've been showing my work is because I want to help you learn. This function is just the same as the other I solved earlier.
1) Set the function equal to 0
2x² + 14x + 24 = 0
2) Factorize the left side
2(x + 3)(x + 4) = 0
3) Set factors equal to 0
x + 3 = 0 or x + 4 = 0
x = 0 - 3 or x = 0 - 4
x = -3 or x = -4
Thus,
The zeros of this quadratic function are: x = -3 or x = -4