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Solve for x in the equation (x - 4)(3x + 5) = 0

  1. -3, 4

  2. 4, -3

  3. -4, 3

  4. 4, 3

The correct answer is: 4, -3

Since the product of two numbers is equal to zero when one or both of the numbers are zero, we can set each factor equal to zero and solve for x. For the first factor, x - 4 = 0, when x = 4. For the second factor, 3x + 5 = 0, when x = -5/3. Therefore, the values of x that make the equation true are 4 and -5/3, which correspond to the numbers in option B. Option A is incorrect because 3 is not a solution for x in any of the factors. Option C and D are incorrect because the factors should only equal to zero, not the sum of zero.