Question

ve the following quadratic equations:
a. $(6x - 1)(x + 7) = 0$

Explanation:

Step1: Apply Zero-Product Property

If \(ab = 0\), then \(a = 0\) or \(b = 0\). For \((6x - 1)(x + 7)=0\), we set each factor equal to zero:
\(6x - 1 = 0\) or \(x + 7 = 0\)

Step2: Solve \(6x - 1 = 0\)

Add 1 to both sides: \(6x=1\)
Divide by 6: \(x=\frac{1}{6}\)

Step3: Solve \(x + 7 = 0\)

Subtract 7 from both sides: \(x=-7\)

Answer:

\(x=\frac{1}{6}\) or \(x = - 7\)