To solve the factored quadratic equation \((19x - 3)(9 + x) = 0\), we can set each factor to zero:
-
Set the first factor to zero: \[ 19x - 3 = 0 \] Solving for \(x\): \[ 19x = 3 \implies x = \frac{3}{19} \]
-
Set the second factor to zero: \[ 9 + x = 0 \] Solving for \(x\): \[ x = -9 \]
Thus, the solutions are: \[ x = -9 \quad \text{and} \quad x = \frac{3}{19} \]
The solution set is: \[ x = { -9, \frac{3}{19} } \]
So the correct response is: The solution set is \( x = { -9, \frac{3}{19} } \).