Question

17.) $3x^2 - 6x = 0$

Explanation:

Step1: Factor out common term

Factor out \(3x\) from \(3x^2 - 6x\), we get \(3x(x - 2)=0\).

Step2: Apply zero - product property

If \(ab = 0\), then either \(a = 0\) or \(b = 0\). So we have two equations:

• \(3x=0\), solving for \(x\), we divide both sides by 3, \(x = 0\).
• \(x - 2=0\), solving for \(x\), we add 2 to both sides, \(x=2\).

Answer:

\(x = 0\) or \(x = 2\)