Question

solve.
(9 - w)(2w - 1) = 0
(if there is more than one solution, separate them with commas.)
w =

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 \((9 - w)(2w - 1)=0\), we set each factor equal to zero:
Case 1: \(9 - w=0\)
To solve for \(w\), we add \(w\) to both sides of the equation: \(9=w\), so \(w = 9\).
Case 2: \(2w - 1=0\)
First, add 1 to both sides of the equation: \(2w=1\). Then, divide both sides by 2: \(w=\frac{1}{2}\).

Answer:

\(9,\frac{1}{2}\)