Question

what are the solutions to the equation (x - 6)(x + 8) = 0?
x = -6 or x = 8
x = -6 or x = -8
x = 6 or x = -8
x = 6 or x = 8

Explanation:

Step1: Apply Zero-Product Property

If \(ab = 0\), then either \(a = 0\) or \(b = 0\). For \((x - 6)(x + 8)=0\), we set each factor to zero:

• Set \(x - 6 = 0\), solving gives \(x = 6\).
• Set \(x + 8 = 0\), solving gives \(x=-8\).

Answer:

\(x = 6\) or \(x = -8\) (corresponding to the option: \(x = 6\) or \(x = -8\))