solve the following quadratic equation (19x - 3) (9 + x) = 0

To solve the quadratic equation (19x - 3)(9 + x) = 0, we set each factor equal to 0 and solve for x.

Setting 19x - 3 = 0, we can add 3 to both sides and divide by 19 to isolate x:
19x - 3 = 0
19x = 3
x = 3/19

Setting 9 + x = 0, we subtract 9 from both sides to isolate x:
9 + x = 0
x = -9

Therefore, the solutions to the quadratic equation (19x - 3)(9 + x) = 0 are x = 3/19 and x = -9.