Question

Which of the following is the solution set to the equation: 2x(x-3)(4x+1)=0?

(1) {-1/4, 0, 3}
(2) {-2, 1, 3}
(3) {0, 1, 3}
(4) {-2, 1/4, 3}

Answer 1

(1) {-1/4, 0, 3}

Explanation:

Step 1: Factor left side of equation.

2x(4x+1)(x−3)=0

Step 2: Set factors equal to 0.

2x=0 or 4x+1=0 or x−3=0

x=0 or x= −1/4 or x=3