Question

solve (3x - 2)(x - 4) = 0

Explanation:

Step1: Apply Zero-Product Property

If \(ab = 0\), then \(a = 0\) or \(b = 0\). So for \((3x - 2)(x - 4)=0\), we set \(3x - 2 = 0\) or \(x - 4 = 0\).

Step2: Solve \(3x - 2 = 0\)

Add 2 to both sides: \(3x=2\). Divide by 3: \(x = \frac{2}{3}\).

Step3: Solve \(x - 4 = 0\)

Add 4 to both sides: \(x = 4\).

Answer:

\(x=\frac{2}{3}\) or \(x = 4\)