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What are the solutions to (3x - 2) (4x + 1) = 0?​

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Answer:

x = 2/3, -1/4

Explanation:

The zero product rule tells you a product will be zero only if one or more factors is zero. The solutions to this equation are the values of x that make one or the other of the factors be zero.

3x -2 = 0

3x = 2

x = 2/3 . . . . makes the first factor zero

__

4x +1 = 0

4x = -1

x = -1/4 . . . . makes the second factor zero

__

The solutions are ...

x = 2/3 or x = -1/4

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