Question

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

Type answers as whole numbers or in simplest fraction form.

Answer 1

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

1. \(19x - 3 = 0\)
2. \(9 + x = 0\)

Now, we solve each equation:

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

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

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