Question

1. solve (x - 8)(x + 9) = 0 for x. write all solutions on the same line, separated by commas.

Explanation:

Step1: Apply zero - product property

If \(ab = 0\), then \(a=0\) or \(b = 0\). Here \(a=x - 8\) and \(b=x + 9\), so \(x-8=0\) or \(x + 9=0\).

Step2: Solve \(x-8=0\)

Add 8 to both sides: \(x=8\).

Step3: Solve \(x + 9=0\)

Subtract 9 from both sides: \(x=-9\).

Answer:

\(8,-9\)