What are the solutions to the equation (2x – 5)(3x – 1) = 0?

Question

What are the solutions to the equation (2x – 5)(3x – 1) = 0?

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Cora 2 weeks 2021-10-14T00:43:54+00:00 2 Answers 0

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    0
    2021-10-14T00:44:59+00:00

    ANSWER

    \: x  =2  \frac{1}{2} \: or \: x  =  \frac{1}{3}

    EXPLANATION

    The equation is given in the factored form as:

    (2x - 5)(3x - 1) = 0

    According to zero product principle

    either \:  \: (2x - 5) = 0 \: or \: (3x - 1) = 0

    This implies that,

    either \:  \: 2x  = 5 \: or \: 3x  = 1

    We divide the first equation by 2 and the second by 3

    either \:  \: x  =  \frac{5}{2} \: or \: x  =  \frac{1}{3}

    The solutions are

    \: x  =2  \frac{1}{2} \: or \: x  =  \frac{1}{3}

    0
    2021-10-14T00:45:36+00:00

    Answer:

    The solution of the given equation is (5/2, 1/3)

    Step-by-step explanation:

    It is given an equation,

    (2x – 5)(3x – 1) = 0

    To find the solution of given equation

    (2x – 5)(3x – 1) = 0 means that,

    either (2x – 5) = 0 or (3x – 1) = 0

    If 2x – 5 = 0

    2x = 5

    x = 5/2

    or 3x – 1 = 0

    3x = 3

    x = 1/3

    Therefore the solution of the given equation is (5/2, 1/3)

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