Question

15.) (x + 3)(2x - 5) = 0

Explanation:

Step1: Apply Zero-Product Property

If \(ab = 0\), then either \(a = 0\) or \(b = 0\). So for \((x + 3)(2x - 5)=0\), we set each factor to zero:

• \(x + 3 = 0\)
• \(2x - 5 = 0\)

Step2: Solve \(x + 3 = 0\)

Subtract 3 from both sides: \(x = -3\)

Step3: Solve \(2x - 5 = 0\)

Add 5 to both sides: \(2x = 5\)
Divide by 2: \(x=\frac{5}{2}\)

Answer:

\(x = -3\) or \(x=\frac{5}{2}\)