Question

solve.
(1 - z)(5z + 3) = 0
(if there is more than one solution, separate them with commas.)
z = \boxed{}

Explanation:

Step1: Apply zero product property

Set each factor equal to 0:
$1-z=0$, $5z+3=0$

Step2: Solve first equation for z

Isolate z:
$z=1$

Step3: Solve second equation for z

Isolate z:
$5z=-3 \implies z=-\frac{3}{5}$

Answer:

$1, -\frac{3}{5}$