Question

1. (4q + 3)(q + 2) = 0

the roots are:

Explanation:

Step1: Apply zero product property

Set each factor to 0:
$4q + 3 = 0$ and $q + 2 = 0$

Step2: Solve first equation for q

Isolate $q$:
$4q = -3 \implies q = \frac{-3}{4}$

Step3: Solve second equation for q

Isolate $q$:
$q = -2$

Answer:

$q = -\frac{3}{4}$ and $q = -2$