Question

solve the equation (2n + 9)(5n - 2)=0

Explanation:

Step1: Apply zero - product property

If \((a)(b)=0\), then \(a = 0\) or \(b = 0\). So either \(2n+9 = 0\) or \(5n - 2=0\).

Step2: Solve \(2n+9 = 0\)

Subtract 9 from both sides: \(2n=-9\). Then divide by 2: \(n=-\frac{9}{2}\).

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

Add 2 to both sides: \(5n = 2\). Then divide by 5: \(n=\frac{2}{5}\).

Answer:

\(n =-\frac{9}{2}\) or \(n=\frac{2}{5}\)