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Solve the factored quadratic equation (19x−3)(9+x)=0 .(1 point) Responses The solution set is x={−9,319} . The solution set is x equals left brace negative 9 comma Start Fraction 3 over 19 End Fraction right brace . The solution set is x={−9,3} . The solution set is x equals left brace negative 9 comma 3 right brace . The solution set is x={193,9} . The solution set is x equals left brace Start Fraction 19 over 3 End Fraction comma 9 right brace . The solution set is x={−9,193} .

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To solve the factored quadratic equation \( (19x - 3)(9 + x) = 0 \), we can set each factor equal to zero.

  1. Set the first factor equal to zero: \[ 19x - 3 = 0 \] Solving for \( x \): \[ 19x = 3 \implies x = \frac{3}{19} \]

  2. Set the second factor equal 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: \[ { -9, \frac{3}{19} } \]

The correct response is: The solution set is \( x = { -9, \frac{3}{19} } \).