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Advanced Math / Nonlinear equations in one variable and systems of equations in two variables Difficulty: Medium

3xx-4x+5=0

What is one of the solutions to the given equation?

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Explanation

Choice B is correct. Applying the zero product property to the given equation yields 3 x = 0 , x - 4 = 0 , and x + 5 = 0 . Dividing each side of the equation 3 x = 0 by 3 yields x = 0 . Adding 4 to each side of the equation x - 4 = 0 yields x = 4 . Subtracting 5 from each side of the equation x + 5 = 0 yields x = - 5 . Therefore, the solutions to the given equation are 0 , 4 , and - 5 . Thus, one of the solutions to the given equation is 0 .

Choice A is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.