solve (3x - 2)(x - 4) = 0

Explanation:

Step1: Apply zero - product property

If (ab = 0), then either (a = 0) or (b = 0). For the equation ((3x - 2)(x - 4)=0), we set each factor equal to zero: (3x - 2 = 0) or (x - 4 = 0)

Step2: Solve (3x - 2 = 0)

Add 2 to both sides of the equation (3x - 2 = 0): (3x-2 + 2=0 + 2) (3x=2) Divide both sides by 3: (x=\frac{2}{3})

Step3: Solve (x - 4 = 0)

Add 4 to both sides of the equation (x - 4 = 0): (x-4 + 4=0 + 4) (x = 4)

Answer:

(x=\frac{2}{3}) or (x = 4)