Question

solve for z. separate multiple answers with a comma. (z + 18)(z + 23) = 0

Explanation:

Step1: Apply zero - product property

The zero - product property states that if \(ab = 0\), then either \(a=0\) or \(b = 0\) (or both). For the equation \((z + 18)(z + 23)=0\), we set each factor equal to zero.
First, set \(z + 18=0\).

Step2: Solve \(z + 18 = 0\)

Subtract 18 from both sides of the equation \(z+18 = 0\). We get \(z=- 18\).

Step3: Solve \(z + 23=0\)

Subtract 23 from both sides of the equation \(z + 23=0\). We get \(z=-23\).

Answer:

\(-18,-23\)