Solve the factored quadratic equations (19x−3)(9+x)=0

Answer 1

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

1. Set \(19x - 3 = 0\): \[ 19x - 3 = 0 \implies 19x = 3 \implies x = \frac{3}{19} \]

2. Set \(9 + x = 0\): \[ 9 + x = 0 \implies x = -9 \]

So the solutions to the equation \((19x - 3)(9 + x) = 0\) are: \[ x = \frac{3}{19} \quad \text{and} \quad x = -9 \]