Question

solve.
$(z + 7)(z + 3) = 0$
(if there is more than one solution, separate them with co
$z = \boxed{}$

Explanation:

Step1: Apply Zero-Product Property

If \((z + 7)(z + 3)=0\), then either \(z + 7 = 0\) or \(z + 3 = 0\) (by zero - product property: if \(ab = 0\), then \(a = 0\) or \(b = 0\)).

Step2: Solve for \(z\) in \(z + 7 = 0\)

Subtract 7 from both sides of the equation \(z+7 = 0\). We get \(z=-7\).

Step3: Solve for \(z\) in \(z + 3 = 0\)

Subtract 3 from both sides of the equation \(z + 3=0\). We get \(z=-3\).

Answer:

\(-7,-3\)