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

To find the solution to the equation (2x - 1)(3x + 4) = 0, you need to set each factor equal to zero and solve for x.

Step 1: Set the first factor equal to zero. 2x - 1 = 0

Step 2: Solve for x. Add 1 to both sides of the equation to isolate 2x on one side. 2x = 1

Then, divide both sides by 2. x = 1/2

So, one solution to the equation is x = 1/2.

Step 3: Set the second factor equal to zero. 3x + 4 = 0

Step 4: Solve for x. Subtract 4 from both sides of the equation to isolate 3x on one side. 3x = -4

Then, divide both sides by 3. x = -4/3

So, the other solution to the equation is x = -4/3.

Therefore, the solutions to the equation (2x - 1)(3x + 4) = 0 are x = 1/2 and x = -4/3.